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Simplifying -5p + -3(6 + -4p) = 3(p + -2) + -36 -5p + (6 * -3 + -4p * -3) = 3(p + -2) + -36 -5p + (-18 + 12p) = 3(p + -2) + -36 Reorder the terms: -18 + -5p + 12p = 3(p + -2) + -36 Combine like terms: -5p + 12p = 7p -18 + 7p = 3(p + -2) + -36 Reorder the terms: -18 + 7p = 3(-2 + p) + -36 -18 + 7p = (-2 * 3 + p * 3) + -36 -18 + 7p = (-6 + 3p) + -36 Reorder the terms: -18 + 7p = -6 + -36 + 3p Combine like terms: -6 + -36 = -42 -18 + 7p = -42 + 3p Solving -18 + 7p = -42 + 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. -18 + 7p + -3p = -42 + 3p + -3p Combine like terms: 7p + -3p = 4p -18 + 4p = -42 + 3p + -3p Combine like terms: 3p + -3p = 0 -18 + 4p = -42 + 0 -18 + 4p = -42 Add '18' to each side of the equation. -18 + 18 + 4p = -42 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = -42 + 18 4p = -42 + 18 Combine like terms: -42 + 18 = -24 4p = -24 Divide each side by '4'. p = -6 Simplifying p = -6
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