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Simplifying -27p + -6(3 + -6p) = 4(p + -3) + -46 -27p + (3 * -6 + -6p * -6) = 4(p + -3) + -46 -27p + (-18 + 36p) = 4(p + -3) + -46 Reorder the terms: -18 + -27p + 36p = 4(p + -3) + -46 Combine like terms: -27p + 36p = 9p -18 + 9p = 4(p + -3) + -46 Reorder the terms: -18 + 9p = 4(-3 + p) + -46 -18 + 9p = (-3 * 4 + p * 4) + -46 -18 + 9p = (-12 + 4p) + -46 Reorder the terms: -18 + 9p = -12 + -46 + 4p Combine like terms: -12 + -46 = -58 -18 + 9p = -58 + 4p Solving -18 + 9p = -58 + 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. -18 + 9p + -4p = -58 + 4p + -4p Combine like terms: 9p + -4p = 5p -18 + 5p = -58 + 4p + -4p Combine like terms: 4p + -4p = 0 -18 + 5p = -58 + 0 -18 + 5p = -58 Add '18' to each side of the equation. -18 + 18 + 5p = -58 + 18 Combine like terms: -18 + 18 = 0 0 + 5p = -58 + 18 5p = -58 + 18 Combine like terms: -58 + 18 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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