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Simplifying -18p + -5(4 + -5p) = 4(p + -2) + -21 -18p + (4 * -5 + -5p * -5) = 4(p + -2) + -21 -18p + (-20 + 25p) = 4(p + -2) + -21 Reorder the terms: -20 + -18p + 25p = 4(p + -2) + -21 Combine like terms: -18p + 25p = 7p -20 + 7p = 4(p + -2) + -21 Reorder the terms: -20 + 7p = 4(-2 + p) + -21 -20 + 7p = (-2 * 4 + p * 4) + -21 -20 + 7p = (-8 + 4p) + -21 Reorder the terms: -20 + 7p = -8 + -21 + 4p Combine like terms: -8 + -21 = -29 -20 + 7p = -29 + 4p Solving -20 + 7p = -29 + 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. -20 + 7p + -4p = -29 + 4p + -4p Combine like terms: 7p + -4p = 3p -20 + 3p = -29 + 4p + -4p Combine like terms: 4p + -4p = 0 -20 + 3p = -29 + 0 -20 + 3p = -29 Add '20' to each side of the equation. -20 + 20 + 3p = -29 + 20 Combine like terms: -20 + 20 = 0 0 + 3p = -29 + 20 3p = -29 + 20 Combine like terms: -29 + 20 = -9 3p = -9 Divide each side by '3'. p = -3 Simplifying p = -3
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