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Simplifying 4(c + -2) = 5(2c + -7) Reorder the terms: 4(-2 + c) = 5(2c + -7) (-2 * 4 + c * 4) = 5(2c + -7) (-8 + 4c) = 5(2c + -7) Reorder the terms: -8 + 4c = 5(-7 + 2c) -8 + 4c = (-7 * 5 + 2c * 5) -8 + 4c = (-35 + 10c) Solving -8 + 4c = -35 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -8 + 4c + -10c = -35 + 10c + -10c Combine like terms: 4c + -10c = -6c -8 + -6c = -35 + 10c + -10c Combine like terms: 10c + -10c = 0 -8 + -6c = -35 + 0 -8 + -6c = -35 Add '8' to each side of the equation. -8 + 8 + -6c = -35 + 8 Combine like terms: -8 + 8 = 0 0 + -6c = -35 + 8 -6c = -35 + 8 Combine like terms: -35 + 8 = -27 -6c = -27 Divide each side by '-6'. c = 4.5 Simplifying c = 4.5
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