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Simplifying -6p + -9 = -3(p + -4) Reorder the terms: -9 + -6p = -3(p + -4) Reorder the terms: -9 + -6p = -3(-4 + p) -9 + -6p = (-4 * -3 + p * -3) -9 + -6p = (12 + -3p) Solving -9 + -6p = 12 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. -9 + -6p + 3p = 12 + -3p + 3p Combine like terms: -6p + 3p = -3p -9 + -3p = 12 + -3p + 3p Combine like terms: -3p + 3p = 0 -9 + -3p = 12 + 0 -9 + -3p = 12 Add '9' to each side of the equation. -9 + 9 + -3p = 12 + 9 Combine like terms: -9 + 9 = 0 0 + -3p = 12 + 9 -3p = 12 + 9 Combine like terms: 12 + 9 = 21 -3p = 21 Divide each side by '-3'. p = -7 Simplifying p = -7
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