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Simplifying -21 + 8p = 3(p + -5) + 7p Reorder the terms: -21 + 8p = 3(-5 + p) + 7p -21 + 8p = (-5 * 3 + p * 3) + 7p -21 + 8p = (-15 + 3p) + 7p Combine like terms: 3p + 7p = 10p -21 + 8p = -15 + 10p Solving -21 + 8p = -15 + 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 + 8p + -10p = -15 + 10p + -10p Combine like terms: 8p + -10p = -2p -21 + -2p = -15 + 10p + -10p Combine like terms: 10p + -10p = 0 -21 + -2p = -15 + 0 -21 + -2p = -15 Add '21' to each side of the equation. -21 + 21 + -2p = -15 + 21 Combine like terms: -21 + 21 = 0 0 + -2p = -15 + 21 -2p = -15 + 21 Combine like terms: -15 + 21 = 6 -2p = 6 Divide each side by '-2'. p = -3 Simplifying p = -3
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