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Simplifying -18p + -5(3 + -5p) = 4(p + -3) + -27 -18p + (3 * -5 + -5p * -5) = 4(p + -3) + -27 -18p + (-15 + 25p) = 4(p + -3) + -27 Reorder the terms: -15 + -18p + 25p = 4(p + -3) + -27 Combine like terms: -18p + 25p = 7p -15 + 7p = 4(p + -3) + -27 Reorder the terms: -15 + 7p = 4(-3 + p) + -27 -15 + 7p = (-3 * 4 + p * 4) + -27 -15 + 7p = (-12 + 4p) + -27 Reorder the terms: -15 + 7p = -12 + -27 + 4p Combine like terms: -12 + -27 = -39 -15 + 7p = -39 + 4p Solving -15 + 7p = -39 + 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. -15 + 7p + -4p = -39 + 4p + -4p Combine like terms: 7p + -4p = 3p -15 + 3p = -39 + 4p + -4p Combine like terms: 4p + -4p = 0 -15 + 3p = -39 + 0 -15 + 3p = -39 Add '15' to each side of the equation. -15 + 15 + 3p = -39 + 15 Combine like terms: -15 + 15 = 0 0 + 3p = -39 + 15 3p = -39 + 15 Combine like terms: -39 + 15 = -24 3p = -24 Divide each side by '3'. p = -8 Simplifying p = -8
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