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Simplifying 7(c + -5) = 8(c + -7) Reorder the terms: 7(-5 + c) = 8(c + -7) (-5 * 7 + c * 7) = 8(c + -7) (-35 + 7c) = 8(c + -7) Reorder the terms: -35 + 7c = 8(-7 + c) -35 + 7c = (-7 * 8 + c * 8) -35 + 7c = (-56 + 8c) Solving -35 + 7c = -56 + 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. -35 + 7c + -8c = -56 + 8c + -8c Combine like terms: 7c + -8c = -1c -35 + -1c = -56 + 8c + -8c Combine like terms: 8c + -8c = 0 -35 + -1c = -56 + 0 -35 + -1c = -56 Add '35' to each side of the equation. -35 + 35 + -1c = -56 + 35 Combine like terms: -35 + 35 = 0 0 + -1c = -56 + 35 -1c = -56 + 35 Combine like terms: -56 + 35 = -21 -1c = -21 Divide each side by '-1'. c = 21 Simplifying c = 21
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