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Simplifying 3(c + -4) = 4(c + -6) Reorder the terms: 3(-4 + c) = 4(c + -6) (-4 * 3 + c * 3) = 4(c + -6) (-12 + 3c) = 4(c + -6) Reorder the terms: -12 + 3c = 4(-6 + c) -12 + 3c = (-6 * 4 + c * 4) -12 + 3c = (-24 + 4c) Solving -12 + 3c = -24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -12 + 3c + -4c = -24 + 4c + -4c Combine like terms: 3c + -4c = -1c -12 + -1c = -24 + 4c + -4c Combine like terms: 4c + -4c = 0 -12 + -1c = -24 + 0 -12 + -1c = -24 Add '12' to each side of the equation. -12 + 12 + -1c = -24 + 12 Combine like terms: -12 + 12 = 0 0 + -1c = -24 + 12 -1c = -24 + 12 Combine like terms: -24 + 12 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12
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