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Simplifying 3(c + -3) = 4(c + -4) Reorder the terms: 3(-3 + c) = 4(c + -4) (-3 * 3 + c * 3) = 4(c + -4) (-9 + 3c) = 4(c + -4) Reorder the terms: -9 + 3c = 4(-4 + c) -9 + 3c = (-4 * 4 + c * 4) -9 + 3c = (-16 + 4c) Solving -9 + 3c = -16 + 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. -9 + 3c + -4c = -16 + 4c + -4c Combine like terms: 3c + -4c = -1c -9 + -1c = -16 + 4c + -4c Combine like terms: 4c + -4c = 0 -9 + -1c = -16 + 0 -9 + -1c = -16 Add '9' to each side of the equation. -9 + 9 + -1c = -16 + 9 Combine like terms: -9 + 9 = 0 0 + -1c = -16 + 9 -1c = -16 + 9 Combine like terms: -16 + 9 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7
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