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Simplifying -3p + -2(4 + -6p) = 4(p + -3) + -6 -3p + (4 * -2 + -6p * -2) = 4(p + -3) + -6 -3p + (-8 + 12p) = 4(p + -3) + -6 Reorder the terms: -8 + -3p + 12p = 4(p + -3) + -6 Combine like terms: -3p + 12p = 9p -8 + 9p = 4(p + -3) + -6 Reorder the terms: -8 + 9p = 4(-3 + p) + -6 -8 + 9p = (-3 * 4 + p * 4) + -6 -8 + 9p = (-12 + 4p) + -6 Reorder the terms: -8 + 9p = -12 + -6 + 4p Combine like terms: -12 + -6 = -18 -8 + 9p = -18 + 4p Solving -8 + 9p = -18 + 4p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-4p' to each side of the equation. -8 + 9p + -4p = -18 + 4p + -4p Combine like terms: 9p + -4p = 5p -8 + 5p = -18 + 4p + -4p Combine like terms: 4p + -4p = 0 -8 + 5p = -18 + 0 -8 + 5p = -18 Add '8' to each side of the equation. -8 + 8 + 5p = -18 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -18 + 8 5p = -18 + 8 Combine like terms: -18 + 8 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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