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Simplifying -4p + 5 = 2(6p + 10) + -3(6 + 5p) Reorder the terms: 5 + -4p = 2(6p + 10) + -3(6 + 5p) Reorder the terms: 5 + -4p = 2(10 + 6p) + -3(6 + 5p) 5 + -4p = (10 * 2 + 6p * 2) + -3(6 + 5p) 5 + -4p = (20 + 12p) + -3(6 + 5p) 5 + -4p = 20 + 12p + (6 * -3 + 5p * -3) 5 + -4p = 20 + 12p + (-18 + -15p) Reorder the terms: 5 + -4p = 20 + -18 + 12p + -15p Combine like terms: 20 + -18 = 2 5 + -4p = 2 + 12p + -15p Combine like terms: 12p + -15p = -3p 5 + -4p = 2 + -3p Solving 5 + -4p = 2 + -3p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '3p' to each side of the equation. 5 + -4p + 3p = 2 + -3p + 3p Combine like terms: -4p + 3p = -1p 5 + -1p = 2 + -3p + 3p Combine like terms: -3p + 3p = 0 5 + -1p = 2 + 0 5 + -1p = 2 Add '-5' to each side of the equation. 5 + -5 + -1p = 2 + -5 Combine like terms: 5 + -5 = 0 0 + -1p = 2 + -5 -1p = 2 + -5 Combine like terms: 2 + -5 = -3 -1p = -3 Divide each side by '-1'. p = 3 Simplifying p = 3
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