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Simplifying 4(c + -7) = 5(c + -8) Reorder the terms: 4(-7 + c) = 5(c + -8) (-7 * 4 + c * 4) = 5(c + -8) (-28 + 4c) = 5(c + -8) Reorder the terms: -28 + 4c = 5(-8 + c) -28 + 4c = (-8 * 5 + c * 5) -28 + 4c = (-40 + 5c) Solving -28 + 4c = -40 + 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. -28 + 4c + -5c = -40 + 5c + -5c Combine like terms: 4c + -5c = -1c -28 + -1c = -40 + 5c + -5c Combine like terms: 5c + -5c = 0 -28 + -1c = -40 + 0 -28 + -1c = -40 Add '28' to each side of the equation. -28 + 28 + -1c = -40 + 28 Combine like terms: -28 + 28 = 0 0 + -1c = -40 + 28 -1c = -40 + 28 Combine like terms: -40 + 28 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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