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Simplifying 4(p + -2) + 5(p + 3) = 61 Reorder the terms: 4(-2 + p) + 5(p + 3) = 61 (-2 * 4 + p * 4) + 5(p + 3) = 61 (-8 + 4p) + 5(p + 3) = 61 Reorder the terms: -8 + 4p + 5(3 + p) = 61 -8 + 4p + (3 * 5 + p * 5) = 61 -8 + 4p + (15 + 5p) = 61 Reorder the terms: -8 + 15 + 4p + 5p = 61 Combine like terms: -8 + 15 = 7 7 + 4p + 5p = 61 Combine like terms: 4p + 5p = 9p 7 + 9p = 61 Solving 7 + 9p = 61 Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9p = 61 + -7 Combine like terms: 7 + -7 = 0 0 + 9p = 61 + -7 9p = 61 + -7 Combine like terms: 61 + -7 = 54 9p = 54 Divide each side by '9'. p = 6 Simplifying p = 6
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