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Simplifying 3c + -6 = 8(c + -5) Reorder the terms: -6 + 3c = 8(c + -5) Reorder the terms: -6 + 3c = 8(-5 + c) -6 + 3c = (-5 * 8 + c * 8) -6 + 3c = (-40 + 8c) Solving -6 + 3c = -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. -6 + 3c + -8c = -40 + 8c + -8c Combine like terms: 3c + -8c = -5c -6 + -5c = -40 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + -5c = -40 + 0 -6 + -5c = -40 Add '6' to each side of the equation. -6 + 6 + -5c = -40 + 6 Combine like terms: -6 + 6 = 0 0 + -5c = -40 + 6 -5c = -40 + 6 Combine like terms: -40 + 6 = -34 -5c = -34 Divide each side by '-5'. c = 6.8 Simplifying c = 6.8
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