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Simplifying 8(c + -5) = 7(6 + c) Reorder the terms: 8(-5 + c) = 7(6 + c) (-5 * 8 + c * 8) = 7(6 + c) (-40 + 8c) = 7(6 + c) -40 + 8c = (6 * 7 + c * 7) -40 + 8c = (42 + 7c) Solving -40 + 8c = 42 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -40 + 8c + -7c = 42 + 7c + -7c Combine like terms: 8c + -7c = 1c -40 + 1c = 42 + 7c + -7c Combine like terms: 7c + -7c = 0 -40 + 1c = 42 + 0 -40 + 1c = 42 Add '40' to each side of the equation. -40 + 40 + 1c = 42 + 40 Combine like terms: -40 + 40 = 0 0 + 1c = 42 + 40 1c = 42 + 40 Combine like terms: 42 + 40 = 82 1c = 82 Divide each side by '1'. c = 82 Simplifying c = 82
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