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Simplifying 10p + -2(3p + -6) = 4(5p + -6) + -10p Reorder the terms: 10p + -2(-6 + 3p) = 4(5p + -6) + -10p 10p + (-6 * -2 + 3p * -2) = 4(5p + -6) + -10p 10p + (12 + -6p) = 4(5p + -6) + -10p Reorder the terms: 12 + 10p + -6p = 4(5p + -6) + -10p Combine like terms: 10p + -6p = 4p 12 + 4p = 4(5p + -6) + -10p Reorder the terms: 12 + 4p = 4(-6 + 5p) + -10p 12 + 4p = (-6 * 4 + 5p * 4) + -10p 12 + 4p = (-24 + 20p) + -10p Combine like terms: 20p + -10p = 10p 12 + 4p = -24 + 10p Solving 12 + 4p = -24 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 12 + 4p + -10p = -24 + 10p + -10p Combine like terms: 4p + -10p = -6p 12 + -6p = -24 + 10p + -10p Combine like terms: 10p + -10p = 0 12 + -6p = -24 + 0 12 + -6p = -24 Add '-12' to each side of the equation. 12 + -12 + -6p = -24 + -12 Combine like terms: 12 + -12 = 0 0 + -6p = -24 + -12 -6p = -24 + -12 Combine like terms: -24 + -12 = -36 -6p = -36 Divide each side by '-6'. p = 6 Simplifying p = 6
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