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Simplifying 8(2c + -5) = -5(3c + 7) Reorder the terms: 8(-5 + 2c) = -5(3c + 7) (-5 * 8 + 2c * 8) = -5(3c + 7) (-40 + 16c) = -5(3c + 7) Reorder the terms: -40 + 16c = -5(7 + 3c) -40 + 16c = (7 * -5 + 3c * -5) -40 + 16c = (-35 + -15c) Solving -40 + 16c = -35 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. -40 + 16c + 15c = -35 + -15c + 15c Combine like terms: 16c + 15c = 31c -40 + 31c = -35 + -15c + 15c Combine like terms: -15c + 15c = 0 -40 + 31c = -35 + 0 -40 + 31c = -35 Add '40' to each side of the equation. -40 + 40 + 31c = -35 + 40 Combine like terms: -40 + 40 = 0 0 + 31c = -35 + 40 31c = -35 + 40 Combine like terms: -35 + 40 = 5 31c = 5 Divide each side by '31'. c = 0.1612903226 Simplifying c = 0.1612903226
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