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Simplifying 7(c + -2) = 8(c + -5) Reorder the terms: 7(-2 + c) = 8(c + -5) (-2 * 7 + c * 7) = 8(c + -5) (-14 + 7c) = 8(c + -5) Reorder the terms: -14 + 7c = 8(-5 + c) -14 + 7c = (-5 * 8 + c * 8) -14 + 7c = (-40 + 8c) Solving -14 + 7c = -40 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -14 + 7c + -8c = -40 + 8c + -8c Combine like terms: 7c + -8c = -1c -14 + -1c = -40 + 8c + -8c Combine like terms: 8c + -8c = 0 -14 + -1c = -40 + 0 -14 + -1c = -40 Add '14' to each side of the equation. -14 + 14 + -1c = -40 + 14 Combine like terms: -14 + 14 = 0 0 + -1c = -40 + 14 -1c = -40 + 14 Combine like terms: -40 + 14 = -26 -1c = -26 Divide each side by '-1'. c = 26 Simplifying c = 26
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