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Simplifying 70 = 8(c + -4) + -2 Reorder the terms: 70 = 8(-4 + c) + -2 70 = (-4 * 8 + c * 8) + -2 70 = (-32 + 8c) + -2 Reorder the terms: 70 = -32 + -2 + 8c Combine like terms: -32 + -2 = -34 70 = -34 + 8c Solving 70 = -34 + 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. 70 + -8c = -34 + 8c + -8c Combine like terms: 8c + -8c = 0 70 + -8c = -34 + 0 70 + -8c = -34 Add '-70' to each side of the equation. 70 + -70 + -8c = -34 + -70 Combine like terms: 70 + -70 = 0 0 + -8c = -34 + -70 -8c = -34 + -70 Combine like terms: -34 + -70 = -104 -8c = -104 Divide each side by '-8'. c = 13 Simplifying c = 13
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