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Simplifying 5(1 + -3p) + -12 = 8(1 + -2p) + 3 (1 * 5 + -3p * 5) + -12 = 8(1 + -2p) + 3 (5 + -15p) + -12 = 8(1 + -2p) + 3 Reorder the terms: 5 + -12 + -15p = 8(1 + -2p) + 3 Combine like terms: 5 + -12 = -7 -7 + -15p = 8(1 + -2p) + 3 -7 + -15p = (1 * 8 + -2p * 8) + 3 -7 + -15p = (8 + -16p) + 3 Reorder the terms: -7 + -15p = 8 + 3 + -16p Combine like terms: 8 + 3 = 11 -7 + -15p = 11 + -16p Solving -7 + -15p = 11 + -16p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '16p' to each side of the equation. -7 + -15p + 16p = 11 + -16p + 16p Combine like terms: -15p + 16p = 1p -7 + 1p = 11 + -16p + 16p Combine like terms: -16p + 16p = 0 -7 + 1p = 11 + 0 -7 + 1p = 11 Add '7' to each side of the equation. -7 + 7 + 1p = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 1p = 11 + 7 1p = 11 + 7 Combine like terms: 11 + 7 = 18 1p = 18 Divide each side by '1'. p = 18 Simplifying p = 18
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