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Simplifying 4(c + -2) = 5(c + -3) Reorder the terms: 4(-2 + c) = 5(c + -3) (-2 * 4 + c * 4) = 5(c + -3) (-8 + 4c) = 5(c + -3) Reorder the terms: -8 + 4c = 5(-3 + c) -8 + 4c = (-3 * 5 + c * 5) -8 + 4c = (-15 + 5c) Solving -8 + 4c = -15 + 5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-5c' to each side of the equation. -8 + 4c + -5c = -15 + 5c + -5c Combine like terms: 4c + -5c = -1c -8 + -1c = -15 + 5c + -5c Combine like terms: 5c + -5c = 0 -8 + -1c = -15 + 0 -8 + -1c = -15 Add '8' to each side of the equation. -8 + 8 + -1c = -15 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = -15 + 8 -1c = -15 + 8 Combine like terms: -15 + 8 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7
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