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Simplifying 21 + -1(2c + 3) = 2(c + 4) + 0 Reorder the terms: 21 + -1(3 + 2c) = 2(c + 4) + 0 21 + (3 * -1 + 2c * -1) = 2(c + 4) + 0 21 + (-3 + -2c) = 2(c + 4) + 0 Combine like terms: 21 + -3 = 18 18 + -2c = 2(c + 4) + 0 Reorder the terms: 18 + -2c = 2(4 + c) + 0 18 + -2c = (4 * 2 + c * 2) + 0 18 + -2c = (8 + 2c) + 0 Reorder the terms: 18 + -2c = 8 + 0 + 2c Combine like terms: 8 + 0 = 8 18 + -2c = 8 + 2c Solving 18 + -2c = 8 + 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. 18 + -2c + -2c = 8 + 2c + -2c Combine like terms: -2c + -2c = -4c 18 + -4c = 8 + 2c + -2c Combine like terms: 2c + -2c = 0 18 + -4c = 8 + 0 18 + -4c = 8 Add '-18' to each side of the equation. 18 + -18 + -4c = 8 + -18 Combine like terms: 18 + -18 = 0 0 + -4c = 8 + -18 -4c = 8 + -18 Combine like terms: 8 + -18 = -10 -4c = -10 Divide each side by '-4'. c = 2.5 Simplifying c = 2.5
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