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Simplifying -10p + -3(3 + -5p) = 3(p + -4) + -15 -10p + (3 * -3 + -5p * -3) = 3(p + -4) + -15 -10p + (-9 + 15p) = 3(p + -4) + -15 Reorder the terms: -9 + -10p + 15p = 3(p + -4) + -15 Combine like terms: -10p + 15p = 5p -9 + 5p = 3(p + -4) + -15 Reorder the terms: -9 + 5p = 3(-4 + p) + -15 -9 + 5p = (-4 * 3 + p * 3) + -15 -9 + 5p = (-12 + 3p) + -15 Reorder the terms: -9 + 5p = -12 + -15 + 3p Combine like terms: -12 + -15 = -27 -9 + 5p = -27 + 3p Solving -9 + 5p = -27 + 3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-3p' to each side of the equation. -9 + 5p + -3p = -27 + 3p + -3p Combine like terms: 5p + -3p = 2p -9 + 2p = -27 + 3p + -3p Combine like terms: 3p + -3p = 0 -9 + 2p = -27 + 0 -9 + 2p = -27 Add '9' to each side of the equation. -9 + 9 + 2p = -27 + 9 Combine like terms: -9 + 9 = 0 0 + 2p = -27 + 9 2p = -27 + 9 Combine like terms: -27 + 9 = -18 2p = -18 Divide each side by '2'. p = -9 Simplifying p = -9
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