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Simplifying -4p + -4(2 + -3p) = 6(p + -2) + -10 -4p + (2 * -4 + -3p * -4) = 6(p + -2) + -10 -4p + (-8 + 12p) = 6(p + -2) + -10 Reorder the terms: -8 + -4p + 12p = 6(p + -2) + -10 Combine like terms: -4p + 12p = 8p -8 + 8p = 6(p + -2) + -10 Reorder the terms: -8 + 8p = 6(-2 + p) + -10 -8 + 8p = (-2 * 6 + p * 6) + -10 -8 + 8p = (-12 + 6p) + -10 Reorder the terms: -8 + 8p = -12 + -10 + 6p Combine like terms: -12 + -10 = -22 -8 + 8p = -22 + 6p Solving -8 + 8p = -22 + 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. -8 + 8p + -6p = -22 + 6p + -6p Combine like terms: 8p + -6p = 2p -8 + 2p = -22 + 6p + -6p Combine like terms: 6p + -6p = 0 -8 + 2p = -22 + 0 -8 + 2p = -22 Add '8' to each side of the equation. -8 + 8 + 2p = -22 + 8 Combine like terms: -8 + 8 = 0 0 + 2p = -22 + 8 2p = -22 + 8 Combine like terms: -22 + 8 = -14 2p = -14 Divide each side by '2'. p = -7 Simplifying p = -7
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