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Simplifying 10p + -2(3p + -6) = 4(5p + -6) Reorder the terms: 10p + -2(-6 + 3p) = 4(5p + -6) 10p + (-6 * -2 + 3p * -2) = 4(5p + -6) 10p + (12 + -6p) = 4(5p + -6) Reorder the terms: 12 + 10p + -6p = 4(5p + -6) Combine like terms: 10p + -6p = 4p 12 + 4p = 4(5p + -6) Reorder the terms: 12 + 4p = 4(-6 + 5p) 12 + 4p = (-6 * 4 + 5p * 4) 12 + 4p = (-24 + 20p) Solving 12 + 4p = -24 + 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 + 4p + -20p = -24 + 20p + -20p Combine like terms: 4p + -20p = -16p 12 + -16p = -24 + 20p + -20p Combine like terms: 20p + -20p = 0 12 + -16p = -24 + 0 12 + -16p = -24 Add '-12' to each side of the equation. 12 + -12 + -16p = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -16p = -24 + -12 -16p = -24 + -12 Combine like terms: -24 + -12 = -36 -16p = -36 Divide each side by '-16'. p = 2.25 Simplifying p = 2.25
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