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Simplifying -10p + -6(2 + -3p) = 6(p + -4) + -6 -10p + (2 * -6 + -3p * -6) = 6(p + -4) + -6 -10p + (-12 + 18p) = 6(p + -4) + -6 Reorder the terms: -12 + -10p + 18p = 6(p + -4) + -6 Combine like terms: -10p + 18p = 8p -12 + 8p = 6(p + -4) + -6 Reorder the terms: -12 + 8p = 6(-4 + p) + -6 -12 + 8p = (-4 * 6 + p * 6) + -6 -12 + 8p = (-24 + 6p) + -6 Reorder the terms: -12 + 8p = -24 + -6 + 6p Combine like terms: -24 + -6 = -30 -12 + 8p = -30 + 6p Solving -12 + 8p = -30 + 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. -12 + 8p + -6p = -30 + 6p + -6p Combine like terms: 8p + -6p = 2p -12 + 2p = -30 + 6p + -6p Combine like terms: 6p + -6p = 0 -12 + 2p = -30 + 0 -12 + 2p = -30 Add '12' to each side of the equation. -12 + 12 + 2p = -30 + 12 Combine like terms: -12 + 12 = 0 0 + 2p = -30 + 12 2p = -30 + 12 Combine like terms: -30 + 12 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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