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Simplifying -7(2p + 4) + -44 = 5(3p + 3) Reorder the terms: -7(4 + 2p) + -44 = 5(3p + 3) (4 * -7 + 2p * -7) + -44 = 5(3p + 3) (-28 + -14p) + -44 = 5(3p + 3) Reorder the terms: -28 + -44 + -14p = 5(3p + 3) Combine like terms: -28 + -44 = -72 -72 + -14p = 5(3p + 3) Reorder the terms: -72 + -14p = 5(3 + 3p) -72 + -14p = (3 * 5 + 3p * 5) -72 + -14p = (15 + 15p) Solving -72 + -14p = 15 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -72 + -14p + -15p = 15 + 15p + -15p Combine like terms: -14p + -15p = -29p -72 + -29p = 15 + 15p + -15p Combine like terms: 15p + -15p = 0 -72 + -29p = 15 + 0 -72 + -29p = 15 Add '72' to each side of the equation. -72 + 72 + -29p = 15 + 72 Combine like terms: -72 + 72 = 0 0 + -29p = 15 + 72 -29p = 15 + 72 Combine like terms: 15 + 72 = 87 -29p = 87 Divide each side by '-29'. p = -3 Simplifying p = -3
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