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Simplifying 4(2p + -7) + -1(p + 7) + -2(p + 6) = -77 Reorder the terms: 4(-7 + 2p) + -1(p + 7) + -2(p + 6) = -77 (-7 * 4 + 2p * 4) + -1(p + 7) + -2(p + 6) = -77 (-28 + 8p) + -1(p + 7) + -2(p + 6) = -77 Reorder the terms: -28 + 8p + -1(7 + p) + -2(p + 6) = -77 -28 + 8p + (7 * -1 + p * -1) + -2(p + 6) = -77 -28 + 8p + (-7 + -1p) + -2(p + 6) = -77 Reorder the terms: -28 + 8p + -7 + -1p + -2(6 + p) = -77 -28 + 8p + -7 + -1p + (6 * -2 + p * -2) = -77 -28 + 8p + -7 + -1p + (-12 + -2p) = -77 Reorder the terms: -28 + -7 + -12 + 8p + -1p + -2p = -77 Combine like terms: -28 + -7 = -35 -35 + -12 + 8p + -1p + -2p = -77 Combine like terms: -35 + -12 = -47 -47 + 8p + -1p + -2p = -77 Combine like terms: 8p + -1p = 7p -47 + 7p + -2p = -77 Combine like terms: 7p + -2p = 5p -47 + 5p = -77 Solving -47 + 5p = -77 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 5p = -77 + 47 Combine like terms: -47 + 47 = 0 0 + 5p = -77 + 47 5p = -77 + 47 Combine like terms: -77 + 47 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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