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Simplifying -4(2p + -3) + 9(p + -6) = -34 + -3 Reorder the terms: -4(-3 + 2p) + 9(p + -6) = -34 + -3 (-3 * -4 + 2p * -4) + 9(p + -6) = -34 + -3 (12 + -8p) + 9(p + -6) = -34 + -3 Reorder the terms: 12 + -8p + 9(-6 + p) = -34 + -3 12 + -8p + (-6 * 9 + p * 9) = -34 + -3 12 + -8p + (-54 + 9p) = -34 + -3 Reorder the terms: 12 + -54 + -8p + 9p = -34 + -3 Combine like terms: 12 + -54 = -42 -42 + -8p + 9p = -34 + -3 Combine like terms: -8p + 9p = 1p -42 + 1p = -34 + -3 Combine like terms: -34 + -3 = -37 -42 + 1p = -37 Solving -42 + 1p = -37 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 1p = -37 + 42 Combine like terms: -42 + 42 = 0 0 + 1p = -37 + 42 1p = -37 + 42 Combine like terms: -37 + 42 = 5 1p = 5 Divide each side by '1'. p = 5 Simplifying p = 5
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