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Simplifying 8p + -5(p + 3) + -3(7p + -1) = 0 Reorder the terms: 8p + -5(3 + p) + -3(7p + -1) = 0 8p + (3 * -5 + p * -5) + -3(7p + -1) = 0 8p + (-15 + -5p) + -3(7p + -1) = 0 Reorder the terms: 8p + -15 + -5p + -3(-1 + 7p) = 0 8p + -15 + -5p + (-1 * -3 + 7p * -3) = 0 8p + -15 + -5p + (3 + -21p) = 0 Reorder the terms: -15 + 3 + 8p + -5p + -21p = 0 Combine like terms: -15 + 3 = -12 -12 + 8p + -5p + -21p = 0 Combine like terms: 8p + -5p = 3p -12 + 3p + -21p = 0 Combine like terms: 3p + -21p = -18p -12 + -18p = 0 Solving -12 + -18p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -18p = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -18p = 0 + 12 -18p = 0 + 12 Combine like terms: 0 + 12 = 12 -18p = 12 Divide each side by '-18'. p = -0.6666666667 Simplifying p = -0.6666666667
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