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Simplifying 5(c + -4) = 6(c + -8) Reorder the terms: 5(-4 + c) = 6(c + -8) (-4 * 5 + c * 5) = 6(c + -8) (-20 + 5c) = 6(c + -8) Reorder the terms: -20 + 5c = 6(-8 + c) -20 + 5c = (-8 * 6 + c * 6) -20 + 5c = (-48 + 6c) Solving -20 + 5c = -48 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -20 + 5c + -6c = -48 + 6c + -6c Combine like terms: 5c + -6c = -1c -20 + -1c = -48 + 6c + -6c Combine like terms: 6c + -6c = 0 -20 + -1c = -48 + 0 -20 + -1c = -48 Add '20' to each side of the equation. -20 + 20 + -1c = -48 + 20 Combine like terms: -20 + 20 = 0 0 + -1c = -48 + 20 -1c = -48 + 20 Combine like terms: -48 + 20 = -28 -1c = -28 Divide each side by '-1'. c = 28 Simplifying c = 28
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