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Simplifying 5(c + -7) = 6(c + -8) Reorder the terms: 5(-7 + c) = 6(c + -8) (-7 * 5 + c * 5) = 6(c + -8) (-35 + 5c) = 6(c + -8) Reorder the terms: -35 + 5c = 6(-8 + c) -35 + 5c = (-8 * 6 + c * 6) -35 + 5c = (-48 + 6c) Solving -35 + 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. -35 + 5c + -6c = -48 + 6c + -6c Combine like terms: 5c + -6c = -1c -35 + -1c = -48 + 6c + -6c Combine like terms: 6c + -6c = 0 -35 + -1c = -48 + 0 -35 + -1c = -48 Add '35' to each side of the equation. -35 + 35 + -1c = -48 + 35 Combine like terms: -35 + 35 = 0 0 + -1c = -48 + 35 -1c = -48 + 35 Combine like terms: -48 + 35 = -13 -1c = -13 Divide each side by '-1'. c = 13 Simplifying c = 13
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