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Simplifying 4(c + 2) = 3(c + -2) + 1 Reorder the terms: 4(2 + c) = 3(c + -2) + 1 (2 * 4 + c * 4) = 3(c + -2) + 1 (8 + 4c) = 3(c + -2) + 1 Reorder the terms: 8 + 4c = 3(-2 + c) + 1 8 + 4c = (-2 * 3 + c * 3) + 1 8 + 4c = (-6 + 3c) + 1 Reorder the terms: 8 + 4c = -6 + 1 + 3c Combine like terms: -6 + 1 = -5 8 + 4c = -5 + 3c Solving 8 + 4c = -5 + 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 = -5 + 3c + -3c Combine like terms: 4c + -3c = 1c 8 + 1c = -5 + 3c + -3c Combine like terms: 3c + -3c = 0 8 + 1c = -5 + 0 8 + 1c = -5 Add '-8' to each side of the equation. 8 + -8 + 1c = -5 + -8 Combine like terms: 8 + -8 = 0 0 + 1c = -5 + -8 1c = -5 + -8 Combine like terms: -5 + -8 = -13 1c = -13 Divide each side by '1'. c = -13 Simplifying c = -13
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