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Simplifying -6(2p + 2) + -36 = 3(5p + 2) Reorder the terms: -6(2 + 2p) + -36 = 3(5p + 2) (2 * -6 + 2p * -6) + -36 = 3(5p + 2) (-12 + -12p) + -36 = 3(5p + 2) Reorder the terms: -12 + -36 + -12p = 3(5p + 2) Combine like terms: -12 + -36 = -48 -48 + -12p = 3(5p + 2) Reorder the terms: -48 + -12p = 3(2 + 5p) -48 + -12p = (2 * 3 + 5p * 3) -48 + -12p = (6 + 15p) Solving -48 + -12p = 6 + 15p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-15p' to each side of the equation. -48 + -12p + -15p = 6 + 15p + -15p Combine like terms: -12p + -15p = -27p -48 + -27p = 6 + 15p + -15p Combine like terms: 15p + -15p = 0 -48 + -27p = 6 + 0 -48 + -27p = 6 Add '48' to each side of the equation. -48 + 48 + -27p = 6 + 48 Combine like terms: -48 + 48 = 0 0 + -27p = 6 + 48 -27p = 6 + 48 Combine like terms: 6 + 48 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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