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Simplifying -8(2c + -5) = -3(3c + 7) Reorder the terms: -8(-5 + 2c) = -3(3c + 7) (-5 * -8 + 2c * -8) = -3(3c + 7) (40 + -16c) = -3(3c + 7) Reorder the terms: 40 + -16c = -3(7 + 3c) 40 + -16c = (7 * -3 + 3c * -3) 40 + -16c = (-21 + -9c) Solving 40 + -16c = -21 + -9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9c' to each side of the equation. 40 + -16c + 9c = -21 + -9c + 9c Combine like terms: -16c + 9c = -7c 40 + -7c = -21 + -9c + 9c Combine like terms: -9c + 9c = 0 40 + -7c = -21 + 0 40 + -7c = -21 Add '-40' to each side of the equation. 40 + -40 + -7c = -21 + -40 Combine like terms: 40 + -40 = 0 0 + -7c = -21 + -40 -7c = -21 + -40 Combine like terms: -21 + -40 = -61 -7c = -61 Divide each side by '-7'. c = 8.714285714 Simplifying c = 8.714285714
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