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Simplifying 36 + -1(3c + 4) = 2(c + 4) + 6 Reorder the terms: 36 + -1(4 + 3c) = 2(c + 4) + 6 36 + (4 * -1 + 3c * -1) = 2(c + 4) + 6 36 + (-4 + -3c) = 2(c + 4) + 6 Combine like terms: 36 + -4 = 32 32 + -3c = 2(c + 4) + 6 Reorder the terms: 32 + -3c = 2(4 + c) + 6 32 + -3c = (4 * 2 + c * 2) + 6 32 + -3c = (8 + 2c) + 6 Reorder the terms: 32 + -3c = 8 + 6 + 2c Combine like terms: 8 + 6 = 14 32 + -3c = 14 + 2c Solving 32 + -3c = 14 + 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. 32 + -3c + -2c = 14 + 2c + -2c Combine like terms: -3c + -2c = -5c 32 + -5c = 14 + 2c + -2c Combine like terms: 2c + -2c = 0 32 + -5c = 14 + 0 32 + -5c = 14 Add '-32' to each side of the equation. 32 + -32 + -5c = 14 + -32 Combine like terms: 32 + -32 = 0 0 + -5c = 14 + -32 -5c = 14 + -32 Combine like terms: 14 + -32 = -18 -5c = -18 Divide each side by '-5'. c = 3.6 Simplifying c = 3.6
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