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Simplifying 17 = -5 + 7(c + -4) Reorder the terms: 17 = -5 + 7(-4 + c) 17 = -5 + (-4 * 7 + c * 7) 17 = -5 + (-28 + 7c) Combine like terms: -5 + -28 = -33 17 = -33 + 7c Solving 17 = -33 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 17 + -7c = -33 + 7c + -7c Combine like terms: 7c + -7c = 0 17 + -7c = -33 + 0 17 + -7c = -33 Add '-17' to each side of the equation. 17 + -17 + -7c = -33 + -17 Combine like terms: 17 + -17 = 0 0 + -7c = -33 + -17 -7c = -33 + -17 Combine like terms: -33 + -17 = -50 -7c = -50 Divide each side by '-7'. c = 7.142857143 Simplifying c = 7.142857143
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