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Simplifying -40 + 6p = 4(2p + -7) Reorder the terms: -40 + 6p = 4(-7 + 2p) -40 + 6p = (-7 * 4 + 2p * 4) -40 + 6p = (-28 + 8p) Solving -40 + 6p = -28 + 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. -40 + 6p + -8p = -28 + 8p + -8p Combine like terms: 6p + -8p = -2p -40 + -2p = -28 + 8p + -8p Combine like terms: 8p + -8p = 0 -40 + -2p = -28 + 0 -40 + -2p = -28 Add '40' to each side of the equation. -40 + 40 + -2p = -28 + 40 Combine like terms: -40 + 40 = 0 0 + -2p = -28 + 40 -2p = -28 + 40 Combine like terms: -28 + 40 = 12 -2p = 12 Divide each side by '-2'. p = -6 Simplifying p = -6
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