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Simplifying 2(5p + -2) + -3(p + -6) = 0 Reorder the terms: 2(-2 + 5p) + -3(p + -6) = 0 (-2 * 2 + 5p * 2) + -3(p + -6) = 0 (-4 + 10p) + -3(p + -6) = 0 Reorder the terms: -4 + 10p + -3(-6 + p) = 0 -4 + 10p + (-6 * -3 + p * -3) = 0 -4 + 10p + (18 + -3p) = 0 Reorder the terms: -4 + 18 + 10p + -3p = 0 Combine like terms: -4 + 18 = 14 14 + 10p + -3p = 0 Combine like terms: 10p + -3p = 7p 14 + 7p = 0 Solving 14 + 7p = 0 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + -14 + 7p = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 7p = 0 + -14 7p = 0 + -14 Combine like terms: 0 + -14 = -14 7p = -14 Divide each side by '7'. p = -2 Simplifying p = -2
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