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Simplifying 7(c + 9) + -2 = 8c + 7 Reorder the terms: 7(9 + c) + -2 = 8c + 7 (9 * 7 + c * 7) + -2 = 8c + 7 (63 + 7c) + -2 = 8c + 7 Reorder the terms: 63 + -2 + 7c = 8c + 7 Combine like terms: 63 + -2 = 61 61 + 7c = 8c + 7 Reorder the terms: 61 + 7c = 7 + 8c Solving 61 + 7c = 7 + 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. 61 + 7c + -8c = 7 + 8c + -8c Combine like terms: 7c + -8c = -1c 61 + -1c = 7 + 8c + -8c Combine like terms: 8c + -8c = 0 61 + -1c = 7 + 0 61 + -1c = 7 Add '-61' to each side of the equation. 61 + -61 + -1c = 7 + -61 Combine like terms: 61 + -61 = 0 0 + -1c = 7 + -61 -1c = 7 + -61 Combine like terms: 7 + -61 = -54 -1c = -54 Divide each side by '-1'. c = 54 Simplifying c = 54
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