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Simplifying -21 = 7 + 6(c + 5) Reorder the terms: -21 = 7 + 6(5 + c) -21 = 7 + (5 * 6 + c * 6) -21 = 7 + (30 + 6c) Combine like terms: 7 + 30 = 37 -21 = 37 + 6c Solving -21 = 37 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. -21 + -6c = 37 + 6c + -6c Combine like terms: 6c + -6c = 0 -21 + -6c = 37 + 0 -21 + -6c = 37 Add '21' to each side of the equation. -21 + 21 + -6c = 37 + 21 Combine like terms: -21 + 21 = 0 0 + -6c = 37 + 21 -6c = 37 + 21 Combine like terms: 37 + 21 = 58 -6c = 58 Divide each side by '-6'. c = -9.666666667 Simplifying c = -9.666666667
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