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Simplifying -3(-20p + 16) = 18 + 6(12p + 19) Reorder the terms: -3(16 + -20p) = 18 + 6(12p + 19) (16 * -3 + -20p * -3) = 18 + 6(12p + 19) (-48 + 60p) = 18 + 6(12p + 19) Reorder the terms: -48 + 60p = 18 + 6(19 + 12p) -48 + 60p = 18 + (19 * 6 + 12p * 6) -48 + 60p = 18 + (114 + 72p) Combine like terms: 18 + 114 = 132 -48 + 60p = 132 + 72p Solving -48 + 60p = 132 + 72p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-72p' to each side of the equation. -48 + 60p + -72p = 132 + 72p + -72p Combine like terms: 60p + -72p = -12p -48 + -12p = 132 + 72p + -72p Combine like terms: 72p + -72p = 0 -48 + -12p = 132 + 0 -48 + -12p = 132 Add '48' to each side of the equation. -48 + 48 + -12p = 132 + 48 Combine like terms: -48 + 48 = 0 0 + -12p = 132 + 48 -12p = 132 + 48 Combine like terms: 132 + 48 = 180 -12p = 180 Divide each side by '-12'. p = -15 Simplifying p = -15
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