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Simplifying 5(c + -3) = 8(c + -6) Reorder the terms: 5(-3 + c) = 8(c + -6) (-3 * 5 + c * 5) = 8(c + -6) (-15 + 5c) = 8(c + -6) Reorder the terms: -15 + 5c = 8(-6 + c) -15 + 5c = (-6 * 8 + c * 8) -15 + 5c = (-48 + 8c) Solving -15 + 5c = -48 + 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. -15 + 5c + -8c = -48 + 8c + -8c Combine like terms: 5c + -8c = -3c -15 + -3c = -48 + 8c + -8c Combine like terms: 8c + -8c = 0 -15 + -3c = -48 + 0 -15 + -3c = -48 Add '15' to each side of the equation. -15 + 15 + -3c = -48 + 15 Combine like terms: -15 + 15 = 0 0 + -3c = -48 + 15 -3c = -48 + 15 Combine like terms: -48 + 15 = -33 -3c = -33 Divide each side by '-3'. c = 11 Simplifying c = 11
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