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Simplifying -3(p + -7) + -3(5p + 3) + -6p = 0 Reorder the terms: -3(-7 + p) + -3(5p + 3) + -6p = 0 (-7 * -3 + p * -3) + -3(5p + 3) + -6p = 0 (21 + -3p) + -3(5p + 3) + -6p = 0 Reorder the terms: 21 + -3p + -3(3 + 5p) + -6p = 0 21 + -3p + (3 * -3 + 5p * -3) + -6p = 0 21 + -3p + (-9 + -15p) + -6p = 0 Reorder the terms: 21 + -9 + -3p + -15p + -6p = 0 Combine like terms: 21 + -9 = 12 12 + -3p + -15p + -6p = 0 Combine like terms: -3p + -15p = -18p 12 + -18p + -6p = 0 Combine like terms: -18p + -6p = -24p 12 + -24p = 0 Solving 12 + -24p = 0 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 + -24p = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -24p = 0 + -12 -24p = 0 + -12 Combine like terms: 0 + -12 = -12 -24p = -12 Divide each side by '-24'. p = 0.5 Simplifying p = 0.5
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