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Simplifying 5(c + -6) = 6(c + -7) Reorder the terms: 5(-6 + c) = 6(c + -7) (-6 * 5 + c * 5) = 6(c + -7) (-30 + 5c) = 6(c + -7) Reorder the terms: -30 + 5c = 6(-7 + c) -30 + 5c = (-7 * 6 + c * 6) -30 + 5c = (-42 + 6c) Solving -30 + 5c = -42 + 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. -30 + 5c + -6c = -42 + 6c + -6c Combine like terms: 5c + -6c = -1c -30 + -1c = -42 + 6c + -6c Combine like terms: 6c + -6c = 0 -30 + -1c = -42 + 0 -30 + -1c = -42 Add '30' to each side of the equation. -30 + 30 + -1c = -42 + 30 Combine like terms: -30 + 30 = 0 0 + -1c = -42 + 30 -1c = -42 + 30 Combine like terms: -42 + 30 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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