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Simplifying -7p + -8(10 + 7p) = -8p + -10(p + 8) -7p + (10 * -8 + 7p * -8) = -8p + -10(p + 8) -7p + (-80 + -56p) = -8p + -10(p + 8) Reorder the terms: -80 + -7p + -56p = -8p + -10(p + 8) Combine like terms: -7p + -56p = -63p -80 + -63p = -8p + -10(p + 8) Reorder the terms: -80 + -63p = -8p + -10(8 + p) -80 + -63p = -8p + (8 * -10 + p * -10) -80 + -63p = -8p + (-80 + -10p) Reorder the terms: -80 + -63p = -80 + -8p + -10p Combine like terms: -8p + -10p = -18p -80 + -63p = -80 + -18p Add '80' to each side of the equation. -80 + 80 + -63p = -80 + 80 + -18p Combine like terms: -80 + 80 = 0 0 + -63p = -80 + 80 + -18p -63p = -80 + 80 + -18p Combine like terms: -80 + 80 = 0 -63p = 0 + -18p -63p = -18p Solving -63p = -18p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '18p' to each side of the equation. -63p + 18p = -18p + 18p Combine like terms: -63p + 18p = -45p -45p = -18p + 18p Combine like terms: -18p + 18p = 0 -45p = 0 Divide each side by '-45'. p = 0 Simplifying p = 0
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