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Simplifying -43 = -5c + 4(2c + 7) Reorder the terms: -43 = -5c + 4(7 + 2c) -43 = -5c + (7 * 4 + 2c * 4) -43 = -5c + (28 + 8c) Reorder the terms: -43 = 28 + -5c + 8c Combine like terms: -5c + 8c = 3c -43 = 28 + 3c Solving -43 = 28 + 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. -43 + -3c = 28 + 3c + -3c Combine like terms: 3c + -3c = 0 -43 + -3c = 28 + 0 -43 + -3c = 28 Add '43' to each side of the equation. -43 + 43 + -3c = 28 + 43 Combine like terms: -43 + 43 = 0 0 + -3c = 28 + 43 -3c = 28 + 43 Combine like terms: 28 + 43 = 71 -3c = 71 Divide each side by '-3'. c = -23.66666667 Simplifying c = -23.66666667
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