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Simplifying 3p + -2(p + 6) = 4(p + 1) + -5 Reorder the terms: 3p + -2(6 + p) = 4(p + 1) + -5 3p + (6 * -2 + p * -2) = 4(p + 1) + -5 3p + (-12 + -2p) = 4(p + 1) + -5 Reorder the terms: -12 + 3p + -2p = 4(p + 1) + -5 Combine like terms: 3p + -2p = 1p -12 + 1p = 4(p + 1) + -5 Reorder the terms: -12 + 1p = 4(1 + p) + -5 -12 + 1p = (1 * 4 + p * 4) + -5 -12 + 1p = (4 + 4p) + -5 Reorder the terms: -12 + 1p = 4 + -5 + 4p Combine like terms: 4 + -5 = -1 -12 + 1p = -1 + 4p Solving -12 + 1p = -1 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -12 + 1p + -4p = -1 + 4p + -4p Combine like terms: 1p + -4p = -3p -12 + -3p = -1 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + -3p = -1 + 0 -12 + -3p = -1 Add '12' to each side of the equation. -12 + 12 + -3p = -1 + 12 Combine like terms: -12 + 12 = 0 0 + -3p = -1 + 12 -3p = -1 + 12 Combine like terms: -1 + 12 = 11 -3p = 11 Divide each side by '-3'. p = -3.666666667 Simplifying p = -3.666666667
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