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Simplifying -2p + -6p = -6(5p + 2) + 5(-6 + 5p) Combine like terms: -2p + -6p = -8p -8p = -6(5p + 2) + 5(-6 + 5p) Reorder the terms: -8p = -6(2 + 5p) + 5(-6 + 5p) -8p = (2 * -6 + 5p * -6) + 5(-6 + 5p) -8p = (-12 + -30p) + 5(-6 + 5p) -8p = -12 + -30p + (-6 * 5 + 5p * 5) -8p = -12 + -30p + (-30 + 25p) Reorder the terms: -8p = -12 + -30 + -30p + 25p Combine like terms: -12 + -30 = -42 -8p = -42 + -30p + 25p Combine like terms: -30p + 25p = -5p -8p = -42 + -5p Solving -8p = -42 + -5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '5p' to each side of the equation. -8p + 5p = -42 + -5p + 5p Combine like terms: -8p + 5p = -3p -3p = -42 + -5p + 5p Combine like terms: -5p + 5p = 0 -3p = -42 + 0 -3p = -42 Divide each side by '-3'. p = 14 Simplifying p = 14
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