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Simplifying 14(5c + -8) = 4c + -7 Reorder the terms: 14(-8 + 5c) = 4c + -7 (-8 * 14 + 5c * 14) = 4c + -7 (-112 + 70c) = 4c + -7 Reorder the terms: -112 + 70c = -7 + 4c Solving -112 + 70c = -7 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -112 + 70c + -4c = -7 + 4c + -4c Combine like terms: 70c + -4c = 66c -112 + 66c = -7 + 4c + -4c Combine like terms: 4c + -4c = 0 -112 + 66c = -7 + 0 -112 + 66c = -7 Add '112' to each side of the equation. -112 + 112 + 66c = -7 + 112 Combine like terms: -112 + 112 = 0 0 + 66c = -7 + 112 66c = -7 + 112 Combine like terms: -7 + 112 = 105 66c = 105 Divide each side by '66'. c = 1.590909091 Simplifying c = 1.590909091
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