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Simplifying 2(4c + -6) = 4(3c + -7) Reorder the terms: 2(-6 + 4c) = 4(3c + -7) (-6 * 2 + 4c * 2) = 4(3c + -7) (-12 + 8c) = 4(3c + -7) Reorder the terms: -12 + 8c = 4(-7 + 3c) -12 + 8c = (-7 * 4 + 3c * 4) -12 + 8c = (-28 + 12c) Solving -12 + 8c = -28 + 12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12c' to each side of the equation. -12 + 8c + -12c = -28 + 12c + -12c Combine like terms: 8c + -12c = -4c -12 + -4c = -28 + 12c + -12c Combine like terms: 12c + -12c = 0 -12 + -4c = -28 + 0 -12 + -4c = -28 Add '12' to each side of the equation. -12 + 12 + -4c = -28 + 12 Combine like terms: -12 + 12 = 0 0 + -4c = -28 + 12 -4c = -28 + 12 Combine like terms: -28 + 12 = -16 -4c = -16 Divide each side by '-4'. c = 4 Simplifying c = 4
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