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Simplifying 6(c + -5) = 7(c + -6) Reorder the terms: 6(-5 + c) = 7(c + -6) (-5 * 6 + c * 6) = 7(c + -6) (-30 + 6c) = 7(c + -6) Reorder the terms: -30 + 6c = 7(-6 + c) -30 + 6c = (-6 * 7 + c * 7) -30 + 6c = (-42 + 7c) Solving -30 + 6c = -42 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. -30 + 6c + -7c = -42 + 7c + -7c Combine like terms: 6c + -7c = -1c -30 + -1c = -42 + 7c + -7c Combine like terms: 7c + -7c = 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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