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Simplifying -3 + 6(c + -2) = -8 + 2(c + 3) Reorder the terms: -3 + 6(-2 + c) = -8 + 2(c + 3) -3 + (-2 * 6 + c * 6) = -8 + 2(c + 3) -3 + (-12 + 6c) = -8 + 2(c + 3) Combine like terms: -3 + -12 = -15 -15 + 6c = -8 + 2(c + 3) Reorder the terms: -15 + 6c = -8 + 2(3 + c) -15 + 6c = -8 + (3 * 2 + c * 2) -15 + 6c = -8 + (6 + 2c) Combine like terms: -8 + 6 = -2 -15 + 6c = -2 + 2c Solving -15 + 6c = -2 + 2c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2c' to each side of the equation. -15 + 6c + -2c = -2 + 2c + -2c Combine like terms: 6c + -2c = 4c -15 + 4c = -2 + 2c + -2c Combine like terms: 2c + -2c = 0 -15 + 4c = -2 + 0 -15 + 4c = -2 Add '15' to each side of the equation. -15 + 15 + 4c = -2 + 15 Combine like terms: -15 + 15 = 0 0 + 4c = -2 + 15 4c = -2 + 15 Combine like terms: -2 + 15 = 13 4c = 13 Divide each side by '4'. c = 3.25 Simplifying c = 3.25
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