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Simplifying -2(5p + -5) + -7p = 3(p + -4) + 5 Reorder the terms: -2(-5 + 5p) + -7p = 3(p + -4) + 5 (-5 * -2 + 5p * -2) + -7p = 3(p + -4) + 5 (10 + -10p) + -7p = 3(p + -4) + 5 Combine like terms: -10p + -7p = -17p 10 + -17p = 3(p + -4) + 5 Reorder the terms: 10 + -17p = 3(-4 + p) + 5 10 + -17p = (-4 * 3 + p * 3) + 5 10 + -17p = (-12 + 3p) + 5 Reorder the terms: 10 + -17p = -12 + 5 + 3p Combine like terms: -12 + 5 = -7 10 + -17p = -7 + 3p Solving 10 + -17p = -7 + 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. 10 + -17p + -3p = -7 + 3p + -3p Combine like terms: -17p + -3p = -20p 10 + -20p = -7 + 3p + -3p Combine like terms: 3p + -3p = 0 10 + -20p = -7 + 0 10 + -20p = -7 Add '-10' to each side of the equation. 10 + -10 + -20p = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -20p = -7 + -10 -20p = -7 + -10 Combine like terms: -7 + -10 = -17 -20p = -17 Divide each side by '-20'. p = 0.85 Simplifying p = 0.85
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