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Simplifying 2 + -6p + -6 + -5p = 7(p + 6) + 8(-6p + -2) Reorder the terms: 2 + -6 + -6p + -5p = 7(p + 6) + 8(-6p + -2) Combine like terms: 2 + -6 = -4 -4 + -6p + -5p = 7(p + 6) + 8(-6p + -2) Combine like terms: -6p + -5p = -11p -4 + -11p = 7(p + 6) + 8(-6p + -2) Reorder the terms: -4 + -11p = 7(6 + p) + 8(-6p + -2) -4 + -11p = (6 * 7 + p * 7) + 8(-6p + -2) -4 + -11p = (42 + 7p) + 8(-6p + -2) Reorder the terms: -4 + -11p = 42 + 7p + 8(-2 + -6p) -4 + -11p = 42 + 7p + (-2 * 8 + -6p * 8) -4 + -11p = 42 + 7p + (-16 + -48p) Reorder the terms: -4 + -11p = 42 + -16 + 7p + -48p Combine like terms: 42 + -16 = 26 -4 + -11p = 26 + 7p + -48p Combine like terms: 7p + -48p = -41p -4 + -11p = 26 + -41p Solving -4 + -11p = 26 + -41p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '41p' to each side of the equation. -4 + -11p + 41p = 26 + -41p + 41p Combine like terms: -11p + 41p = 30p -4 + 30p = 26 + -41p + 41p Combine like terms: -41p + 41p = 0 -4 + 30p = 26 + 0 -4 + 30p = 26 Add '4' to each side of the equation. -4 + 4 + 30p = 26 + 4 Combine like terms: -4 + 4 = 0 0 + 30p = 26 + 4 30p = 26 + 4 Combine like terms: 26 + 4 = 30 30p = 30 Divide each side by '30'. p = 1 Simplifying p = 1
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