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Simplifying -6p + -10p = -7(p + -4) + -4(p + 7) Combine like terms: -6p + -10p = -16p -16p = -7(p + -4) + -4(p + 7) Reorder the terms: -16p = -7(-4 + p) + -4(p + 7) -16p = (-4 * -7 + p * -7) + -4(p + 7) -16p = (28 + -7p) + -4(p + 7) Reorder the terms: -16p = 28 + -7p + -4(7 + p) -16p = 28 + -7p + (7 * -4 + p * -4) -16p = 28 + -7p + (-28 + -4p) Reorder the terms: -16p = 28 + -28 + -7p + -4p Combine like terms: 28 + -28 = 0 -16p = 0 + -7p + -4p -16p = -7p + -4p Combine like terms: -7p + -4p = -11p -16p = -11p Solving -16p = -11p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '11p' to each side of the equation. -16p + 11p = -11p + 11p Combine like terms: -16p + 11p = -5p -5p = -11p + 11p Combine like terms: -11p + 11p = 0 -5p = 0 Divide each side by '-5'. p = 0 Simplifying p = 0
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