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Simplifying -2p + -6(5 + -2p) = 5(p + -5) + -45 -2p + (5 * -6 + -2p * -6) = 5(p + -5) + -45 -2p + (-30 + 12p) = 5(p + -5) + -45 Reorder the terms: -30 + -2p + 12p = 5(p + -5) + -45 Combine like terms: -2p + 12p = 10p -30 + 10p = 5(p + -5) + -45 Reorder the terms: -30 + 10p = 5(-5 + p) + -45 -30 + 10p = (-5 * 5 + p * 5) + -45 -30 + 10p = (-25 + 5p) + -45 Reorder the terms: -30 + 10p = -25 + -45 + 5p Combine like terms: -25 + -45 = -70 -30 + 10p = -70 + 5p Solving -30 + 10p = -70 + 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. -30 + 10p + -5p = -70 + 5p + -5p Combine like terms: 10p + -5p = 5p -30 + 5p = -70 + 5p + -5p Combine like terms: 5p + -5p = 0 -30 + 5p = -70 + 0 -30 + 5p = -70 Add '30' to each side of the equation. -30 + 30 + 5p = -70 + 30 Combine like terms: -30 + 30 = 0 0 + 5p = -70 + 30 5p = -70 + 30 Combine like terms: -70 + 30 = -40 5p = -40 Divide each side by '5'. p = -8 Simplifying p = -8
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