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Simplify the expression:

[tex]\[ -3 + (-6)(-6u + (-7)) \][/tex]

Sagot :

Sure, let's simplify the given expression step-by-step:

Given expression:
[tex]$ -3 + -6(-6u + -7) $[/tex]

First, simplify inside the parentheses:
[tex]$ -3 + -6(-6u - 7) $[/tex]

Next, distribute the [tex]\(-6\)[/tex] across the terms inside the parentheses:
[tex]$ -6 \cdot -6u + -6 \cdot -7 $[/tex]

Calculate these products individually:
[tex]$ -6 \cdot -6u = 36u $[/tex]
[tex]$ -6 \cdot -7 = 42 $[/tex]

So now we have:
[tex]$ -3 + 36u + 42 $[/tex]

Combine the constant terms [tex]\(-3\)[/tex] and [tex]\(42\)[/tex]:
[tex]$ -3 + 42 = 39 $[/tex]

Thus, the simplified expression is:
[tex]$ 36u + 39 $[/tex]