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Simplifying 7c + 3 = 6(c + -2) Reorder the terms: 3 + 7c = 6(c + -2) Reorder the terms: 3 + 7c = 6(-2 + c) 3 + 7c = (-2 * 6 + c * 6) 3 + 7c = (-12 + 6c) Solving 3 + 7c = -12 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 3 + 7c + -6c = -12 + 6c + -6c Combine like terms: 7c + -6c = 1c 3 + 1c = -12 + 6c + -6c Combine like terms: 6c + -6c = 0 3 + 1c = -12 + 0 3 + 1c = -12 Add '-3' to each side of the equation. 3 + -3 + 1c = -12 + -3 Combine like terms: 3 + -3 = 0 0 + 1c = -12 + -3 1c = -12 + -3 Combine like terms: -12 + -3 = -15 1c = -15 Divide each side by '1'. c = -15 Simplifying c = -15
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