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Simplifying -5[2p + 2] + -7 = 3[2p + 5] Reorder the terms: -5[2 + 2p] + -7 = 3[2p + 5] [2 * -5 + 2p * -5] + -7 = 3[2p + 5] [-10 + -10p] + -7 = 3[2p + 5] Reorder the terms: -10 + -7 + -10p = 3[2p + 5] Combine like terms: -10 + -7 = -17 -17 + -10p = 3[2p + 5] Reorder the terms: -17 + -10p = 3[5 + 2p] -17 + -10p = [5 * 3 + 2p * 3] -17 + -10p = [15 + 6p] Solving -17 + -10p = 15 + 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. -17 + -10p + -6p = 15 + 6p + -6p Combine like terms: -10p + -6p = -16p -17 + -16p = 15 + 6p + -6p Combine like terms: 6p + -6p = 0 -17 + -16p = 15 + 0 -17 + -16p = 15 Add '17' to each side of the equation. -17 + 17 + -16p = 15 + 17 Combine like terms: -17 + 17 = 0 0 + -16p = 15 + 17 -16p = 15 + 17 Combine like terms: 15 + 17 = 32 -16p = 32 Divide each side by '-16'. p = -2 Simplifying p = -2
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