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Simplifying 43 + -4(c + 3) = 4 + -1(c + 9) Reorder the terms: 43 + -4(3 + c) = 4 + -1(c + 9) 43 + (3 * -4 + c * -4) = 4 + -1(c + 9) 43 + (-12 + -4c) = 4 + -1(c + 9) Combine like terms: 43 + -12 = 31 31 + -4c = 4 + -1(c + 9) Reorder the terms: 31 + -4c = 4 + -1(9 + c) 31 + -4c = 4 + (9 * -1 + c * -1) 31 + -4c = 4 + (-9 + -1c) Combine like terms: 4 + -9 = -5 31 + -4c = -5 + -1c Solving 31 + -4c = -5 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. 31 + -4c + c = -5 + -1c + c Combine like terms: -4c + c = -3c 31 + -3c = -5 + -1c + c Combine like terms: -1c + c = 0 31 + -3c = -5 + 0 31 + -3c = -5 Add '-31' to each side of the equation. 31 + -31 + -3c = -5 + -31 Combine like terms: 31 + -31 = 0 0 + -3c = -5 + -31 -3c = -5 + -31 Combine like terms: -5 + -31 = -36 -3c = -36 Divide each side by '-3'. c = 12 Simplifying c = 12
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