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Simplifying 4(c + -2) = 3(c + -1) Reorder the terms: 4(-2 + c) = 3(c + -1) (-2 * 4 + c * 4) = 3(c + -1) (-8 + 4c) = 3(c + -1) Reorder the terms: -8 + 4c = 3(-1 + c) -8 + 4c = (-1 * 3 + c * 3) -8 + 4c = (-3 + 3c) Solving -8 + 4c = -3 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -8 + 4c + -3c = -3 + 3c + -3c Combine like terms: 4c + -3c = 1c -8 + 1c = -3 + 3c + -3c Combine like terms: 3c + -3c = 0 -8 + 1c = -3 + 0 -8 + 1c = -3 Add '8' to each side of the equation. -8 + 8 + 1c = -3 + 8 Combine like terms: -8 + 8 = 0 0 + 1c = -3 + 8 1c = -3 + 8 Combine like terms: -3 + 8 = 5 1c = 5 Divide each side by '1'. c = 5 Simplifying c = 5
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