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Simplifying 7.1(c + -11) + 3.4c = (-7.1 + -1c) Reorder the terms: 7.1(-11 + c) + 3.4c = (-7.1 + -1c) (-11 * 7.1 + c * 7.1) + 3.4c = (-7.1 + -1c) (-78.1 + 7.1c) + 3.4c = (-7.1 + -1c) Combine like terms: 7.1c + 3.4c = 10.5c -78.1 + 10.5c = (-7.1 + -1c) Remove parenthesis around (-7.1 + -1c) -78.1 + 10.5c = -7.1 + -1c Solving -78.1 + 10.5c = -7.1 + -1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add 'c' to each side of the equation. -78.1 + 10.5c + c = -7.1 + -1c + c Combine like terms: 10.5c + c = 11.5c -78.1 + 11.5c = -7.1 + -1c + c Combine like terms: -1c + c = 0 -78.1 + 11.5c = -7.1 + 0 -78.1 + 11.5c = -7.1 Add '78.1' to each side of the equation. -78.1 + 78.1 + 11.5c = -7.1 + 78.1 Combine like terms: -78.1 + 78.1 = 0.0 0.0 + 11.5c = -7.1 + 78.1 11.5c = -7.1 + 78.1 Combine like terms: -7.1 + 78.1 = 71 11.5c = 71 Divide each side by '11.5'. c = 6.173913043 Simplifying c = 6.173913043
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