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Simplifying -3p + -6(2 + -2p) = 4(p + -3) + -30 -3p + (2 * -6 + -2p * -6) = 4(p + -3) + -30 -3p + (-12 + 12p) = 4(p + -3) + -30 Reorder the terms: -12 + -3p + 12p = 4(p + -3) + -30 Combine like terms: -3p + 12p = 9p -12 + 9p = 4(p + -3) + -30 Reorder the terms: -12 + 9p = 4(-3 + p) + -30 -12 + 9p = (-3 * 4 + p * 4) + -30 -12 + 9p = (-12 + 4p) + -30 Reorder the terms: -12 + 9p = -12 + -30 + 4p Combine like terms: -12 + -30 = -42 -12 + 9p = -42 + 4p Solving -12 + 9p = -42 + 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. -12 + 9p + -4p = -42 + 4p + -4p Combine like terms: 9p + -4p = 5p -12 + 5p = -42 + 4p + -4p Combine like terms: 4p + -4p = 0 -12 + 5p = -42 + 0 -12 + 5p = -42 Add '12' to each side of the equation. -12 + 12 + 5p = -42 + 12 Combine like terms: -12 + 12 = 0 0 + 5p = -42 + 12 5p = -42 + 12 Combine like terms: -42 + 12 = -30 5p = -30 Divide each side by '5'. p = -6 Simplifying p = -6
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