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Simplifying -2p + -3 = 2(3p + 9) + -5(6 + p) Reorder the terms: -3 + -2p = 2(3p + 9) + -5(6 + p) Reorder the terms: -3 + -2p = 2(9 + 3p) + -5(6 + p) -3 + -2p = (9 * 2 + 3p * 2) + -5(6 + p) -3 + -2p = (18 + 6p) + -5(6 + p) -3 + -2p = 18 + 6p + (6 * -5 + p * -5) -3 + -2p = 18 + 6p + (-30 + -5p) Reorder the terms: -3 + -2p = 18 + -30 + 6p + -5p Combine like terms: 18 + -30 = -12 -3 + -2p = -12 + 6p + -5p Combine like terms: 6p + -5p = 1p -3 + -2p = -12 + 1p Solving -3 + -2p = -12 + 1p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. -3 + -2p + -1p = -12 + 1p + -1p Combine like terms: -2p + -1p = -3p -3 + -3p = -12 + 1p + -1p Combine like terms: 1p + -1p = 0 -3 + -3p = -12 + 0 -3 + -3p = -12 Add '3' to each side of the equation. -3 + 3 + -3p = -12 + 3 Combine like terms: -3 + 3 = 0 0 + -3p = -12 + 3 -3p = -12 + 3 Combine like terms: -12 + 3 = -9 -3p = -9 Divide each side by '-3'. p = 3 Simplifying p = 3
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