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Simplifying -5(3p + 6) = 3(p + -6) Reorder the terms: -5(6 + 3p) = 3(p + -6) (6 * -5 + 3p * -5) = 3(p + -6) (-30 + -15p) = 3(p + -6) Reorder the terms: -30 + -15p = 3(-6 + p) -30 + -15p = (-6 * 3 + p * 3) -30 + -15p = (-18 + 3p) Solving -30 + -15p = -18 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -30 + -15p + -3p = -18 + 3p + -3p Combine like terms: -15p + -3p = -18p -30 + -18p = -18 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + -18p = -18 + 0 -30 + -18p = -18 Add '30' to each side of the equation. -30 + 30 + -18p = -18 + 30 Combine like terms: -30 + 30 = 0 0 + -18p = -18 + 30 -18p = -18 + 30 Combine like terms: -18 + 30 = 12 -18p = 12 Divide each side by '-18'. p = -0.6666666667 Simplifying p = -0.6666666667
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