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Simplifying 6p + -2(4 + -2p) = 5(p + -6) + -23 6p + (4 * -2 + -2p * -2) = 5(p + -6) + -23 6p + (-8 + 4p) = 5(p + -6) + -23 Reorder the terms: -8 + 6p + 4p = 5(p + -6) + -23 Combine like terms: 6p + 4p = 10p -8 + 10p = 5(p + -6) + -23 Reorder the terms: -8 + 10p = 5(-6 + p) + -23 -8 + 10p = (-6 * 5 + p * 5) + -23 -8 + 10p = (-30 + 5p) + -23 Reorder the terms: -8 + 10p = -30 + -23 + 5p Combine like terms: -30 + -23 = -53 -8 + 10p = -53 + 5p Solving -8 + 10p = -53 + 5p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-5p' to each side of the equation. -8 + 10p + -5p = -53 + 5p + -5p Combine like terms: 10p + -5p = 5p -8 + 5p = -53 + 5p + -5p Combine like terms: 5p + -5p = 0 -8 + 5p = -53 + 0 -8 + 5p = -53 Add '8' to each side of the equation. -8 + 8 + 5p = -53 + 8 Combine like terms: -8 + 8 = 0 0 + 5p = -53 + 8 5p = -53 + 8 Combine like terms: -53 + 8 = -45 5p = -45 Divide each side by '5'. p = -9 Simplifying p = -9
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