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Simplifying 17 + 7p + -10 = 2(5p + -4) Reorder the terms: 17 + -10 + 7p = 2(5p + -4) Combine like terms: 17 + -10 = 7 7 + 7p = 2(5p + -4) Reorder the terms: 7 + 7p = 2(-4 + 5p) 7 + 7p = (-4 * 2 + 5p * 2) 7 + 7p = (-8 + 10p) Solving 7 + 7p = -8 + 10p Solving for variable 'p'. Move all terms containing p to the left, all other terms to the right. Add '-10p' to each side of the equation. 7 + 7p + -10p = -8 + 10p + -10p Combine like terms: 7p + -10p = -3p 7 + -3p = -8 + 10p + -10p Combine like terms: 10p + -10p = 0 7 + -3p = -8 + 0 7 + -3p = -8 Add '-7' to each side of the equation. 7 + -7 + -3p = -8 + -7 Combine like terms: 7 + -7 = 0 0 + -3p = -8 + -7 -3p = -8 + -7 Combine like terms: -8 + -7 = -15 -3p = -15 Divide each side by '-3'. p = 5 Simplifying p = 5
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