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Simplifying -10(6p + -7) = -32 + -9p Reorder the terms: -10(-7 + 6p) = -32 + -9p (-7 * -10 + 6p * -10) = -32 + -9p (70 + -60p) = -32 + -9p Solving 70 + -60p = -32 + -9p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '9p' to each side of the equation. 70 + -60p + 9p = -32 + -9p + 9p Combine like terms: -60p + 9p = -51p 70 + -51p = -32 + -9p + 9p Combine like terms: -9p + 9p = 0 70 + -51p = -32 + 0 70 + -51p = -32 Add '-70' to each side of the equation. 70 + -70 + -51p = -32 + -70 Combine like terms: 70 + -70 = 0 0 + -51p = -32 + -70 -51p = -32 + -70 Combine like terms: -32 + -70 = -102 -51p = -102 Divide each side by '-51'. p = 2 Simplifying p = 2
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