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Simplifying -3(p + 2) + 2p + -7 = 4(p + 3) Reorder the terms: -3(2 + p) + 2p + -7 = 4(p + 3) (2 * -3 + p * -3) + 2p + -7 = 4(p + 3) (-6 + -3p) + 2p + -7 = 4(p + 3) Reorder the terms: -6 + -7 + -3p + 2p = 4(p + 3) Combine like terms: -6 + -7 = -13 -13 + -3p + 2p = 4(p + 3) Combine like terms: -3p + 2p = -1p -13 + -1p = 4(p + 3) Reorder the terms: -13 + -1p = 4(3 + p) -13 + -1p = (3 * 4 + p * 4) -13 + -1p = (12 + 4p) Solving -13 + -1p = 12 + 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. -13 + -1p + -4p = 12 + 4p + -4p Combine like terms: -1p + -4p = -5p -13 + -5p = 12 + 4p + -4p Combine like terms: 4p + -4p = 0 -13 + -5p = 12 + 0 -13 + -5p = 12 Add '13' to each side of the equation. -13 + 13 + -5p = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -5p = 12 + 13 -5p = 12 + 13 Combine like terms: 12 + 13 = 25 -5p = 25 Divide each side by '-5'. p = -5 Simplifying p = -5
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