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Simplifying 100 + -1(c + -70) = 11(c + 10) Reorder the terms: 100 + -1(-70 + c) = 11(c + 10) 100 + (-70 * -1 + c * -1) = 11(c + 10) 100 + (70 + -1c) = 11(c + 10) Combine like terms: 100 + 70 = 170 170 + -1c = 11(c + 10) Reorder the terms: 170 + -1c = 11(10 + c) 170 + -1c = (10 * 11 + c * 11) 170 + -1c = (110 + 11c) Solving 170 + -1c = 110 + 11c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-11c' to each side of the equation. 170 + -1c + -11c = 110 + 11c + -11c Combine like terms: -1c + -11c = -12c 170 + -12c = 110 + 11c + -11c Combine like terms: 11c + -11c = 0 170 + -12c = 110 + 0 170 + -12c = 110 Add '-170' to each side of the equation. 170 + -170 + -12c = 110 + -170 Combine like terms: 170 + -170 = 0 0 + -12c = 110 + -170 -12c = 110 + -170 Combine like terms: 110 + -170 = -60 -12c = -60 Divide each side by '-12'. c = 5 Simplifying c = 5
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