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Simplifying -12(6p + 1) = 10(-2p + 4) Reorder the terms: -12(1 + 6p) = 10(-2p + 4) (1 * -12 + 6p * -12) = 10(-2p + 4) (-12 + -72p) = 10(-2p + 4) Reorder the terms: -12 + -72p = 10(4 + -2p) -12 + -72p = (4 * 10 + -2p * 10) -12 + -72p = (40 + -20p) Solving -12 + -72p = 40 + -20p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '20p' to each side of the equation. -12 + -72p + 20p = 40 + -20p + 20p Combine like terms: -72p + 20p = -52p -12 + -52p = 40 + -20p + 20p Combine like terms: -20p + 20p = 0 -12 + -52p = 40 + 0 -12 + -52p = 40 Add '12' to each side of the equation. -12 + 12 + -52p = 40 + 12 Combine like terms: -12 + 12 = 0 0 + -52p = 40 + 12 -52p = 40 + 12 Combine like terms: 40 + 12 = 52 -52p = 52 Divide each side by '-52'. p = -1 Simplifying p = -1
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