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Simplifying 8(c + -5) = 7c + -6 Reorder the terms: 8(-5 + c) = 7c + -6 (-5 * 8 + c * 8) = 7c + -6 (-40 + 8c) = 7c + -6 Reorder the terms: -40 + 8c = -6 + 7c Solving -40 + 8c = -6 + 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 = -6 + 7c + -7c Combine like terms: 8c + -7c = 1c -40 + 1c = -6 + 7c + -7c Combine like terms: 7c + -7c = 0 -40 + 1c = -6 + 0 -40 + 1c = -6 Add '40' to each side of the equation. -40 + 40 + 1c = -6 + 40 Combine like terms: -40 + 40 = 0 0 + 1c = -6 + 40 1c = -6 + 40 Combine like terms: -6 + 40 = 34 1c = 34 Divide each side by '1'. c = 34 Simplifying c = 34
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