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Simplifying 6(p + -3) + -4 = 8p + -7 Reorder the terms: 6(-3 + p) + -4 = 8p + -7 (-3 * 6 + p * 6) + -4 = 8p + -7 (-18 + 6p) + -4 = 8p + -7 Reorder the terms: -18 + -4 + 6p = 8p + -7 Combine like terms: -18 + -4 = -22 -22 + 6p = 8p + -7 Reorder the terms: -22 + 6p = -7 + 8p Solving -22 + 6p = -7 + 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. -22 + 6p + -8p = -7 + 8p + -8p Combine like terms: 6p + -8p = -2p -22 + -2p = -7 + 8p + -8p Combine like terms: 8p + -8p = 0 -22 + -2p = -7 + 0 -22 + -2p = -7 Add '22' to each side of the equation. -22 + 22 + -2p = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -2p = -7 + 22 -2p = -7 + 22 Combine like terms: -7 + 22 = 15 -2p = 15 Divide each side by '-2'. p = -7.5 Simplifying p = -7.5
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