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Simplifying -21 + -1(3c + -8) = 0.25(c + 13) Reorder the terms: -21 + -1(-8 + 3c) = 0.25(c + 13) -21 + (-8 * -1 + 3c * -1) = 0.25(c + 13) -21 + (8 + -3c) = 0.25(c + 13) Combine like terms: -21 + 8 = -13 -13 + -3c = 0.25(c + 13) Reorder the terms: -13 + -3c = 0.25(13 + c) -13 + -3c = (13 * 0.25 + c * 0.25) -13 + -3c = (3.25 + 0.25c) Solving -13 + -3c = 3.25 + 0.25c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-0.25c' to each side of the equation. -13 + -3c + -0.25c = 3.25 + 0.25c + -0.25c Combine like terms: -3c + -0.25c = -3.25c -13 + -3.25c = 3.25 + 0.25c + -0.25c Combine like terms: 0.25c + -0.25c = 0.00 -13 + -3.25c = 3.25 + 0.00 -13 + -3.25c = 3.25 Add '13' to each side of the equation. -13 + 13 + -3.25c = 3.25 + 13 Combine like terms: -13 + 13 = 0 0 + -3.25c = 3.25 + 13 -3.25c = 3.25 + 13 Combine like terms: 3.25 + 13 = 16.25 -3.25c = 16.25 Divide each side by '-3.25'. c = -5 Simplifying c = -5
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