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Simplifying -12(6p + 1) = 10(-2 + 4) Reorder the terms: -12(1 + 6p) = 10(-2 + 4) (1 * -12 + 6p * -12) = 10(-2 + 4) (-12 + -72p) = 10(-2 + 4) Combine like terms: -2 + 4 = 2 -12 + -72p = 10(2) Multiply 10 * 2 -12 + -72p = 20 Solving -12 + -72p = 20 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -72p = 20 + 12 Combine like terms: -12 + 12 = 0 0 + -72p = 20 + 12 -72p = 20 + 12 Combine like terms: 20 + 12 = 32 -72p = 32 Divide each side by '-72'. p = -0.4444444444 Simplifying p = -0.4444444444
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