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Simplifying 4(c + -3) = 6(c + -12) Reorder the terms: 4(-3 + c) = 6(c + -12) (-3 * 4 + c * 4) = 6(c + -12) (-12 + 4c) = 6(c + -12) Reorder the terms: -12 + 4c = 6(-12 + c) -12 + 4c = (-12 * 6 + c * 6) -12 + 4c = (-72 + 6c) Solving -12 + 4c = -72 + 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. -12 + 4c + -6c = -72 + 6c + -6c Combine like terms: 4c + -6c = -2c -12 + -2c = -72 + 6c + -6c Combine like terms: 6c + -6c = 0 -12 + -2c = -72 + 0 -12 + -2c = -72 Add '12' to each side of the equation. -12 + 12 + -2c = -72 + 12 Combine like terms: -12 + 12 = 0 0 + -2c = -72 + 12 -2c = -72 + 12 Combine like terms: -72 + 12 = -60 -2c = -60 Divide each side by '-2'. c = 30 Simplifying c = 30
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