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Simplifying 49 + -1(2c + 4) = 4(c + 6) Reorder the terms: 49 + -1(4 + 2c) = 4(c + 6) 49 + (4 * -1 + 2c * -1) = 4(c + 6) 49 + (-4 + -2c) = 4(c + 6) Combine like terms: 49 + -4 = 45 45 + -2c = 4(c + 6) Reorder the terms: 45 + -2c = 4(6 + c) 45 + -2c = (6 * 4 + c * 4) 45 + -2c = (24 + 4c) Solving 45 + -2c = 24 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. 45 + -2c + -4c = 24 + 4c + -4c Combine like terms: -2c + -4c = -6c 45 + -6c = 24 + 4c + -4c Combine like terms: 4c + -4c = 0 45 + -6c = 24 + 0 45 + -6c = 24 Add '-45' to each side of the equation. 45 + -45 + -6c = 24 + -45 Combine like terms: 45 + -45 = 0 0 + -6c = 24 + -45 -6c = 24 + -45 Combine like terms: 24 + -45 = -21 -6c = -21 Divide each side by '-6'. c = 3.5 Simplifying c = 3.5
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