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Simplifying -2(5c + -7) + -2c = -4(4c + -26) Reorder the terms: -2(-7 + 5c) + -2c = -4(4c + -26) (-7 * -2 + 5c * -2) + -2c = -4(4c + -26) (14 + -10c) + -2c = -4(4c + -26) Combine like terms: -10c + -2c = -12c 14 + -12c = -4(4c + -26) Reorder the terms: 14 + -12c = -4(-26 + 4c) 14 + -12c = (-26 * -4 + 4c * -4) 14 + -12c = (104 + -16c) Solving 14 + -12c = 104 + -16c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '16c' to each side of the equation. 14 + -12c + 16c = 104 + -16c + 16c Combine like terms: -12c + 16c = 4c 14 + 4c = 104 + -16c + 16c Combine like terms: -16c + 16c = 0 14 + 4c = 104 + 0 14 + 4c = 104 Add '-14' to each side of the equation. 14 + -14 + 4c = 104 + -14 Combine like terms: 14 + -14 = 0 0 + 4c = 104 + -14 4c = 104 + -14 Combine like terms: 104 + -14 = 90 4c = 90 Divide each side by '4'. c = 22.5 Simplifying c = 22.5
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