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Simplifying -12 + 7(8p + -4) = 6p + -10(2 + -7p) Reorder the terms: -12 + 7(-4 + 8p) = 6p + -10(2 + -7p) -12 + (-4 * 7 + 8p * 7) = 6p + -10(2 + -7p) -12 + (-28 + 56p) = 6p + -10(2 + -7p) Combine like terms: -12 + -28 = -40 -40 + 56p = 6p + -10(2 + -7p) -40 + 56p = 6p + (2 * -10 + -7p * -10) -40 + 56p = 6p + (-20 + 70p) Reorder the terms: -40 + 56p = -20 + 6p + 70p Combine like terms: 6p + 70p = 76p -40 + 56p = -20 + 76p Solving -40 + 56p = -20 + 76p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-76p' to each side of the equation. -40 + 56p + -76p = -20 + 76p + -76p Combine like terms: 56p + -76p = -20p -40 + -20p = -20 + 76p + -76p Combine like terms: 76p + -76p = 0 -40 + -20p = -20 + 0 -40 + -20p = -20 Add '40' to each side of the equation. -40 + 40 + -20p = -20 + 40 Combine like terms: -40 + 40 = 0 0 + -20p = -20 + 40 -20p = -20 + 40 Combine like terms: -20 + 40 = 20 -20p = 20 Divide each side by '-20'. p = -1 Simplifying p = -1
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