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Simplifying 34 = -6 + 8(c + 7) Reorder the terms: 34 = -6 + 8(7 + c) 34 = -6 + (7 * 8 + c * 8) 34 = -6 + (56 + 8c) Combine like terms: -6 + 56 = 50 34 = 50 + 8c Solving 34 = 50 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. 34 + -8c = 50 + 8c + -8c Combine like terms: 8c + -8c = 0 34 + -8c = 50 + 0 34 + -8c = 50 Add '-34' to each side of the equation. 34 + -34 + -8c = 50 + -34 Combine like terms: 34 + -34 = 0 0 + -8c = 50 + -34 -8c = 50 + -34 Combine like terms: 50 + -34 = 16 -8c = 16 Divide each side by '-8'. c = -2 Simplifying c = -2
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