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Simplifying -10p + -6(5 + -3p) = 5(p + -4) + -16 -10p + (5 * -6 + -3p * -6) = 5(p + -4) + -16 -10p + (-30 + 18p) = 5(p + -4) + -16 Reorder the terms: -30 + -10p + 18p = 5(p + -4) + -16 Combine like terms: -10p + 18p = 8p -30 + 8p = 5(p + -4) + -16 Reorder the terms: -30 + 8p = 5(-4 + p) + -16 -30 + 8p = (-4 * 5 + p * 5) + -16 -30 + 8p = (-20 + 5p) + -16 Reorder the terms: -30 + 8p = -20 + -16 + 5p Combine like terms: -20 + -16 = -36 -30 + 8p = -36 + 5p Solving -30 + 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. -30 + 8p + -5p = -36 + 5p + -5p Combine like terms: 8p + -5p = 3p -30 + 3p = -36 + 5p + -5p Combine like terms: 5p + -5p = 0 -30 + 3p = -36 + 0 -30 + 3p = -36 Add '30' to each side of the equation. -30 + 30 + 3p = -36 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -36 + 30 3p = -36 + 30 Combine like terms: -36 + 30 = -6 3p = -6 Divide each side by '3'. p = -2 Simplifying p = -2
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