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Simplifying -6(2p + 3) + -18 = 3(5p + 6) Reorder the terms: -6(3 + 2p) + -18 = 3(5p + 6) (3 * -6 + 2p * -6) + -18 = 3(5p + 6) (-18 + -12p) + -18 = 3(5p + 6) Reorder the terms: -18 + -18 + -12p = 3(5p + 6) Combine like terms: -18 + -18 = -36 -36 + -12p = 3(5p + 6) Reorder the terms: -36 + -12p = 3(6 + 5p) -36 + -12p = (6 * 3 + 5p * 3) -36 + -12p = (18 + 15p) Solving -36 + -12p = 18 + 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. -36 + -12p + -15p = 18 + 15p + -15p Combine like terms: -12p + -15p = -27p -36 + -27p = 18 + 15p + -15p Combine like terms: 15p + -15p = 0 -36 + -27p = 18 + 0 -36 + -27p = 18 Add '36' to each side of the equation. -36 + 36 + -27p = 18 + 36 Combine like terms: -36 + 36 = 0 0 + -27p = 18 + 36 -27p = 18 + 36 Combine like terms: 18 + 36 = 54 -27p = 54 Divide each side by '-27'. p = -2 Simplifying p = -2
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