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Simplifying -3p + -6(6 + -2p) = 4(p + -4) + -30 -3p + (6 * -6 + -2p * -6) = 4(p + -4) + -30 -3p + (-36 + 12p) = 4(p + -4) + -30 Reorder the terms: -36 + -3p + 12p = 4(p + -4) + -30 Combine like terms: -3p + 12p = 9p -36 + 9p = 4(p + -4) + -30 Reorder the terms: -36 + 9p = 4(-4 + p) + -30 -36 + 9p = (-4 * 4 + p * 4) + -30 -36 + 9p = (-16 + 4p) + -30 Reorder the terms: -36 + 9p = -16 + -30 + 4p Combine like terms: -16 + -30 = -46 -36 + 9p = -46 + 4p Solving -36 + 9p = -46 + 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. -36 + 9p + -4p = -46 + 4p + -4p Combine like terms: 9p + -4p = 5p -36 + 5p = -46 + 4p + -4p Combine like terms: 4p + -4p = 0 -36 + 5p = -46 + 0 -36 + 5p = -46 Add '36' to each side of the equation. -36 + 36 + 5p = -46 + 36 Combine like terms: -36 + 36 = 0 0 + 5p = -46 + 36 5p = -46 + 36 Combine like terms: -46 + 36 = -10 5p = -10 Divide each side by '5'. p = -2 Simplifying p = -2
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