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Simplifying -20p + -6(3 + -5p) = 6(p + -5) + -28 -20p + (3 * -6 + -5p * -6) = 6(p + -5) + -28 -20p + (-18 + 30p) = 6(p + -5) + -28 Reorder the terms: -18 + -20p + 30p = 6(p + -5) + -28 Combine like terms: -20p + 30p = 10p -18 + 10p = 6(p + -5) + -28 Reorder the terms: -18 + 10p = 6(-5 + p) + -28 -18 + 10p = (-5 * 6 + p * 6) + -28 -18 + 10p = (-30 + 6p) + -28 Reorder the terms: -18 + 10p = -30 + -28 + 6p Combine like terms: -30 + -28 = -58 -18 + 10p = -58 + 6p Solving -18 + 10p = -58 + 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. -18 + 10p + -6p = -58 + 6p + -6p Combine like terms: 10p + -6p = 4p -18 + 4p = -58 + 6p + -6p Combine like terms: 6p + -6p = 0 -18 + 4p = -58 + 0 -18 + 4p = -58 Add '18' to each side of the equation. -18 + 18 + 4p = -58 + 18 Combine like terms: -18 + 18 = 0 0 + 4p = -58 + 18 4p = -58 + 18 Combine like terms: -58 + 18 = -40 4p = -40 Divide each side by '4'. p = -10 Simplifying p = -10
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