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Simplifying 3(p + 5) + 4(p + -2) = (p + 6) Reorder the terms: 3(5 + p) + 4(p + -2) = (p + 6) (5 * 3 + p * 3) + 4(p + -2) = (p + 6) (15 + 3p) + 4(p + -2) = (p + 6) Reorder the terms: 15 + 3p + 4(-2 + p) = (p + 6) 15 + 3p + (-2 * 4 + p * 4) = (p + 6) 15 + 3p + (-8 + 4p) = (p + 6) Reorder the terms: 15 + -8 + 3p + 4p = (p + 6) Combine like terms: 15 + -8 = 7 7 + 3p + 4p = (p + 6) Combine like terms: 3p + 4p = 7p 7 + 7p = (p + 6) Reorder the terms: 7 + 7p = (6 + p) Remove parenthesis around (6 + p) 7 + 7p = 6 + p Solving 7 + 7p = 6 + p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-1p' to each side of the equation. 7 + 7p + -1p = 6 + p + -1p Combine like terms: 7p + -1p = 6p 7 + 6p = 6 + p + -1p Combine like terms: p + -1p = 0 7 + 6p = 6 + 0 7 + 6p = 6 Add '-7' to each side of the equation. 7 + -7 + 6p = 6 + -7 Combine like terms: 7 + -7 = 0 0 + 6p = 6 + -7 6p = 6 + -7 Combine like terms: 6 + -7 = -1 6p = -1 Divide each side by '6'. p = -0.1666666667 Simplifying p = -0.1666666667
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