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Simplifying 6(c + -2) = 7(c + -6) Reorder the terms: 6(-2 + c) = 7(c + -6) (-2 * 6 + c * 6) = 7(c + -6) (-12 + 6c) = 7(c + -6) Reorder the terms: -12 + 6c = 7(-6 + c) -12 + 6c = (-6 * 7 + c * 7) -12 + 6c = (-42 + 7c) Solving -12 + 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. -12 + 6c + -7c = -42 + 7c + -7c Combine like terms: 6c + -7c = -1c -12 + -1c = -42 + 7c + -7c Combine like terms: 7c + -7c = 0 -12 + -1c = -42 + 0 -12 + -1c = -42 Add '12' to each side of the equation. -12 + 12 + -1c = -42 + 12 Combine like terms: -12 + 12 = 0 0 + -1c = -42 + 12 -1c = -42 + 12 Combine like terms: -42 + 12 = -30 -1c = -30 Divide each side by '-1'. c = 30 Simplifying c = 30
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