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Simplifying 187 = 19 + 7(13 + -1c) 187 = 19 + (13 * 7 + -1c * 7) 187 = 19 + (91 + -7c) Combine like terms: 19 + 91 = 110 187 = 110 + -7c Solving 187 = 110 + -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. 187 + 7c = 110 + -7c + 7c Combine like terms: -7c + 7c = 0 187 + 7c = 110 + 0 187 + 7c = 110 Add '-187' to each side of the equation. 187 + -187 + 7c = 110 + -187 Combine like terms: 187 + -187 = 0 0 + 7c = 110 + -187 7c = 110 + -187 Combine like terms: 110 + -187 = -77 7c = -77 Divide each side by '7'. c = -11 Simplifying c = -11
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