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Simplifying 1(2p + -6) = -10 + -6(p + -12) Reorder the terms: 1(-6 + 2p) = -10 + -6(p + -12) (-6 * 1 + 2p * 1) = -10 + -6(p + -12) (-6 + 2p) = -10 + -6(p + -12) Reorder the terms: -6 + 2p = -10 + -6(-12 + p) -6 + 2p = -10 + (-12 * -6 + p * -6) -6 + 2p = -10 + (72 + -6p) Combine like terms: -10 + 72 = 62 -6 + 2p = 62 + -6p Solving -6 + 2p = 62 + -6p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '6p' to each side of the equation. -6 + 2p + 6p = 62 + -6p + 6p Combine like terms: 2p + 6p = 8p -6 + 8p = 62 + -6p + 6p Combine like terms: -6p + 6p = 0 -6 + 8p = 62 + 0 -6 + 8p = 62 Add '6' to each side of the equation. -6 + 6 + 8p = 62 + 6 Combine like terms: -6 + 6 = 0 0 + 8p = 62 + 6 8p = 62 + 6 Combine like terms: 62 + 6 = 68 8p = 68 Divide each side by '8'. p = 8.5 Simplifying p = 8.5
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