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Simplifying 5p + -7 + -2(p + 1) = -1(6p + -3) Reorder the terms: 5p + -7 + -2(1 + p) = -1(6p + -3) 5p + -7 + (1 * -2 + p * -2) = -1(6p + -3) 5p + -7 + (-2 + -2p) = -1(6p + -3) Reorder the terms: -7 + -2 + 5p + -2p = -1(6p + -3) Combine like terms: -7 + -2 = -9 -9 + 5p + -2p = -1(6p + -3) Combine like terms: 5p + -2p = 3p -9 + 3p = -1(6p + -3) Reorder the terms: -9 + 3p = -1(-3 + 6p) -9 + 3p = (-3 * -1 + 6p * -1) -9 + 3p = (3 + -6p) Solving -9 + 3p = 3 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -9 + 3p + 6p = 3 + -6p + 6p Combine like terms: 3p + 6p = 9p -9 + 9p = 3 + -6p + 6p Combine like terms: -6p + 6p = 0 -9 + 9p = 3 + 0 -9 + 9p = 3 Add '9' to each side of the equation. -9 + 9 + 9p = 3 + 9 Combine like terms: -9 + 9 = 0 0 + 9p = 3 + 9 9p = 3 + 9 Combine like terms: 3 + 9 = 12 9p = 12 Divide each side by '9'. p = 1.333333333 Simplifying p = 1.333333333
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