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Simplifying -5p + -5(6 + -3p) = 6(p + -3) + -20 -5p + (6 * -5 + -3p * -5) = 6(p + -3) + -20 -5p + (-30 + 15p) = 6(p + -3) + -20 Reorder the terms: -30 + -5p + 15p = 6(p + -3) + -20 Combine like terms: -5p + 15p = 10p -30 + 10p = 6(p + -3) + -20 Reorder the terms: -30 + 10p = 6(-3 + p) + -20 -30 + 10p = (-3 * 6 + p * 6) + -20 -30 + 10p = (-18 + 6p) + -20 Reorder the terms: -30 + 10p = -18 + -20 + 6p Combine like terms: -18 + -20 = -38 -30 + 10p = -38 + 6p Solving -30 + 10p = -38 + 6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-6p' to each side of the equation. -30 + 10p + -6p = -38 + 6p + -6p Combine like terms: 10p + -6p = 4p -30 + 4p = -38 + 6p + -6p Combine like terms: 6p + -6p = 0 -30 + 4p = -38 + 0 -30 + 4p = -38 Add '30' to each side of the equation. -30 + 30 + 4p = -38 + 30 Combine like terms: -30 + 30 = 0 0 + 4p = -38 + 30 4p = -38 + 30 Combine like terms: -38 + 30 = -8 4p = -8 Divide each side by '4'. p = -2 Simplifying p = -2
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