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Simplifying -1(-8p + 4) + -3(1 + 6p) = -5p + -4p Reorder the terms: -1(4 + -8p) + -3(1 + 6p) = -5p + -4p (4 * -1 + -8p * -1) + -3(1 + 6p) = -5p + -4p (-4 + 8p) + -3(1 + 6p) = -5p + -4p -4 + 8p + (1 * -3 + 6p * -3) = -5p + -4p -4 + 8p + (-3 + -18p) = -5p + -4p Reorder the terms: -4 + -3 + 8p + -18p = -5p + -4p Combine like terms: -4 + -3 = -7 -7 + 8p + -18p = -5p + -4p Combine like terms: 8p + -18p = -10p -7 + -10p = -5p + -4p Combine like terms: -5p + -4p = -9p -7 + -10p = -9p Solving -7 + -10p = -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. -7 + -10p + 9p = -9p + 9p Combine like terms: -10p + 9p = -1p -7 + -1p = -9p + 9p Combine like terms: -9p + 9p = 0 -7 + -1p = 0 Add '7' to each side of the equation. -7 + 7 + -1p = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1p = 0 + 7 -1p = 0 + 7 Combine like terms: 0 + 7 = 7 -1p = 7 Divide each side by '-1'. p = -7 Simplifying p = -7
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