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Simplifying -10p + -5(6 + -3p) = 3(p + -3) + -1 -10p + (6 * -5 + -3p * -5) = 3(p + -3) + -1 -10p + (-30 + 15p) = 3(p + -3) + -1 Reorder the terms: -30 + -10p + 15p = 3(p + -3) + -1 Combine like terms: -10p + 15p = 5p -30 + 5p = 3(p + -3) + -1 Reorder the terms: -30 + 5p = 3(-3 + p) + -1 -30 + 5p = (-3 * 3 + p * 3) + -1 -30 + 5p = (-9 + 3p) + -1 Reorder the terms: -30 + 5p = -9 + -1 + 3p Combine like terms: -9 + -1 = -10 -30 + 5p = -10 + 3p Solving -30 + 5p = -10 + 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. -30 + 5p + -3p = -10 + 3p + -3p Combine like terms: 5p + -3p = 2p -30 + 2p = -10 + 3p + -3p Combine like terms: 3p + -3p = 0 -30 + 2p = -10 + 0 -30 + 2p = -10 Add '30' to each side of the equation. -30 + 30 + 2p = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 2p = -10 + 30 2p = -10 + 30 Combine like terms: -10 + 30 = 20 2p = 20 Divide each side by '2'. p = 10 Simplifying p = 10
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