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Simplifying -15p + -5(6 + -4p) = 2(p + -2) + -8 -15p + (6 * -5 + -4p * -5) = 2(p + -2) + -8 -15p + (-30 + 20p) = 2(p + -2) + -8 Reorder the terms: -30 + -15p + 20p = 2(p + -2) + -8 Combine like terms: -15p + 20p = 5p -30 + 5p = 2(p + -2) + -8 Reorder the terms: -30 + 5p = 2(-2 + p) + -8 -30 + 5p = (-2 * 2 + p * 2) + -8 -30 + 5p = (-4 + 2p) + -8 Reorder the terms: -30 + 5p = -4 + -8 + 2p Combine like terms: -4 + -8 = -12 -30 + 5p = -12 + 2p Solving -30 + 5p = -12 + 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. -30 + 5p + -2p = -12 + 2p + -2p Combine like terms: 5p + -2p = 3p -30 + 3p = -12 + 2p + -2p Combine like terms: 2p + -2p = 0 -30 + 3p = -12 + 0 -30 + 3p = -12 Add '30' to each side of the equation. -30 + 30 + 3p = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 3p = -12 + 30 3p = -12 + 30 Combine like terms: -12 + 30 = 18 3p = 18 Divide each side by '3'. p = 6 Simplifying p = 6
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