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Simplifying -15p + -5(4 + -4p) = 2(p + -4) + -21 -15p + (4 * -5 + -4p * -5) = 2(p + -4) + -21 -15p + (-20 + 20p) = 2(p + -4) + -21 Reorder the terms: -20 + -15p + 20p = 2(p + -4) + -21 Combine like terms: -15p + 20p = 5p -20 + 5p = 2(p + -4) + -21 Reorder the terms: -20 + 5p = 2(-4 + p) + -21 -20 + 5p = (-4 * 2 + p * 2) + -21 -20 + 5p = (-8 + 2p) + -21 Reorder the terms: -20 + 5p = -8 + -21 + 2p Combine like terms: -8 + -21 = -29 -20 + 5p = -29 + 2p Solving -20 + 5p = -29 + 2p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-2p' to each side of the equation. -20 + 5p + -2p = -29 + 2p + -2p Combine like terms: 5p + -2p = 3p -20 + 3p = -29 + 2p + -2p Combine like terms: 2p + -2p = 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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