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Simplifying 3(c + -2) = 4(c + -5) Reorder the terms: 3(-2 + c) = 4(c + -5) (-2 * 3 + c * 3) = 4(c + -5) (-6 + 3c) = 4(c + -5) Reorder the terms: -6 + 3c = 4(-5 + c) -6 + 3c = (-5 * 4 + c * 4) -6 + 3c = (-20 + 4c) Solving -6 + 3c = -20 + 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. -6 + 3c + -4c = -20 + 4c + -4c Combine like terms: 3c + -4c = -1c -6 + -1c = -20 + 4c + -4c Combine like terms: 4c + -4c = 0 -6 + -1c = -20 + 0 -6 + -1c = -20 Add '6' to each side of the equation. -6 + 6 + -1c = -20 + 6 Combine like terms: -6 + 6 = 0 0 + -1c = -20 + 6 -1c = -20 + 6 Combine like terms: -20 + 6 = -14 -1c = -14 Divide each side by '-1'. c = 14 Simplifying c = 14
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