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Simplifying -15 + 3(p + -2) = 5(2p + -3) + 8 Reorder the terms: -15 + 3(-2 + p) = 5(2p + -3) + 8 -15 + (-2 * 3 + p * 3) = 5(2p + -3) + 8 -15 + (-6 + 3p) = 5(2p + -3) + 8 Combine like terms: -15 + -6 = -21 -21 + 3p = 5(2p + -3) + 8 Reorder the terms: -21 + 3p = 5(-3 + 2p) + 8 -21 + 3p = (-3 * 5 + 2p * 5) + 8 -21 + 3p = (-15 + 10p) + 8 Reorder the terms: -21 + 3p = -15 + 8 + 10p Combine like terms: -15 + 8 = -7 -21 + 3p = -7 + 10p Solving -21 + 3p = -7 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. -21 + 3p + -10p = -7 + 10p + -10p Combine like terms: 3p + -10p = -7p -21 + -7p = -7 + 10p + -10p Combine like terms: 10p + -10p = 0 -21 + -7p = -7 + 0 -21 + -7p = -7 Add '21' to each side of the equation. -21 + 21 + -7p = -7 + 21 Combine like terms: -21 + 21 = 0 0 + -7p = -7 + 21 -7p = -7 + 21 Combine like terms: -7 + 21 = 14 -7p = 14 Divide each side by '-7'. p = -2 Simplifying p = -2
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