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Simplifying -5(c + 3) + 4(c + -2) = 2(c + 2) Reorder the terms: -5(3 + c) + 4(c + -2) = 2(c + 2) (3 * -5 + c * -5) + 4(c + -2) = 2(c + 2) (-15 + -5c) + 4(c + -2) = 2(c + 2) Reorder the terms: -15 + -5c + 4(-2 + c) = 2(c + 2) -15 + -5c + (-2 * 4 + c * 4) = 2(c + 2) -15 + -5c + (-8 + 4c) = 2(c + 2) Reorder the terms: -15 + -8 + -5c + 4c = 2(c + 2) Combine like terms: -15 + -8 = -23 -23 + -5c + 4c = 2(c + 2) Combine like terms: -5c + 4c = -1c -23 + -1c = 2(c + 2) Reorder the terms: -23 + -1c = 2(2 + c) -23 + -1c = (2 * 2 + c * 2) -23 + -1c = (4 + 2c) Solving -23 + -1c = 4 + 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. -23 + -1c + -2c = 4 + 2c + -2c Combine like terms: -1c + -2c = -3c -23 + -3c = 4 + 2c + -2c Combine like terms: 2c + -2c = 0 -23 + -3c = 4 + 0 -23 + -3c = 4 Add '23' to each side of the equation. -23 + 23 + -3c = 4 + 23 Combine like terms: -23 + 23 = 0 0 + -3c = 4 + 23 -3c = 4 + 23 Combine like terms: 4 + 23 = 27 -3c = 27 Divide each side by '-3'. c = -9 Simplifying c = -9
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