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Simplifying -70 = -4(3p + -4) + -2(2p + -5) Reorder the terms: -70 = -4(-4 + 3p) + -2(2p + -5) -70 = (-4 * -4 + 3p * -4) + -2(2p + -5) -70 = (16 + -12p) + -2(2p + -5) Reorder the terms: -70 = 16 + -12p + -2(-5 + 2p) -70 = 16 + -12p + (-5 * -2 + 2p * -2) -70 = 16 + -12p + (10 + -4p) Reorder the terms: -70 = 16 + 10 + -12p + -4p Combine like terms: 16 + 10 = 26 -70 = 26 + -12p + -4p Combine like terms: -12p + -4p = -16p -70 = 26 + -16p Solving -70 = 26 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -70 + 16p = 26 + -16p + 16p Combine like terms: -16p + 16p = 0 -70 + 16p = 26 + 0 -70 + 16p = 26 Add '70' to each side of the equation. -70 + 70 + 16p = 26 + 70 Combine like terms: -70 + 70 = 0 0 + 16p = 26 + 70 16p = 26 + 70 Combine like terms: 26 + 70 = 96 16p = 96 Divide each side by '16'. p = 6 Simplifying p = 6
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