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Simplifying 4(p + -6) + 6p = 8(p + -7) Reorder the terms: 4(-6 + p) + 6p = 8(p + -7) (-6 * 4 + p * 4) + 6p = 8(p + -7) (-24 + 4p) + 6p = 8(p + -7) Combine like terms: 4p + 6p = 10p -24 + 10p = 8(p + -7) Reorder the terms: -24 + 10p = 8(-7 + p) -24 + 10p = (-7 * 8 + p * 8) -24 + 10p = (-56 + 8p) Solving -24 + 10p = -56 + 8p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-8p' to each side of the equation. -24 + 10p + -8p = -56 + 8p + -8p Combine like terms: 10p + -8p = 2p -24 + 2p = -56 + 8p + -8p Combine like terms: 8p + -8p = 0 -24 + 2p = -56 + 0 -24 + 2p = -56 Add '24' to each side of the equation. -24 + 24 + 2p = -56 + 24 Combine like terms: -24 + 24 = 0 0 + 2p = -56 + 24 2p = -56 + 24 Combine like terms: -56 + 24 = -32 2p = -32 Divide each side by '2'. p = -16 Simplifying p = -16
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