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Simplifying -4p + -3(6 + -4p) = 5(p + -3) + -21 -4p + (6 * -3 + -4p * -3) = 5(p + -3) + -21 -4p + (-18 + 12p) = 5(p + -3) + -21 Reorder the terms: -18 + -4p + 12p = 5(p + -3) + -21 Combine like terms: -4p + 12p = 8p -18 + 8p = 5(p + -3) + -21 Reorder the terms: -18 + 8p = 5(-3 + p) + -21 -18 + 8p = (-3 * 5 + p * 5) + -21 -18 + 8p = (-15 + 5p) + -21 Reorder the terms: -18 + 8p = -15 + -21 + 5p Combine like terms: -15 + -21 = -36 -18 + 8p = -36 + 5p Solving -18 + 8p = -36 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -18 + 8p + -5p = -36 + 5p + -5p Combine like terms: 8p + -5p = 3p -18 + 3p = -36 + 5p + -5p Combine like terms: 5p + -5p = 0 -18 + 3p = -36 + 0 -18 + 3p = -36 Add '18' to each side of the equation. -18 + 18 + 3p = -36 + 18 Combine like terms: -18 + 18 = 0 0 + 3p = -36 + 18 3p = -36 + 18 Combine like terms: -36 + 18 = -18 3p = -18 Divide each side by '3'. p = -6 Simplifying p = -6
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