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Simplifying 6.4c + -2.5 + -0.4(15c + 11) = 1.1 Reorder the terms: 6.4c + -2.5 + -0.4(11 + 15c) = 1.1 6.4c + -2.5 + (11 * -0.4 + 15c * -0.4) = 1.1 6.4c + -2.5 + (-4.4 + -6c) = 1.1 Reorder the terms: -2.5 + -4.4 + 6.4c + -6c = 1.1 Combine like terms: -2.5 + -4.4 = -6.9 -6.9 + 6.4c + -6c = 1.1 Combine like terms: 6.4c + -6c = 0.4c -6.9 + 0.4c = 1.1 Solving -6.9 + 0.4c = 1.1 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '6.9' to each side of the equation. -6.9 + 6.9 + 0.4c = 1.1 + 6.9 Combine like terms: -6.9 + 6.9 = 0.0 0.0 + 0.4c = 1.1 + 6.9 0.4c = 1.1 + 6.9 Combine like terms: 1.1 + 6.9 = 8 0.4c = 8 Divide each side by '0.4'. c = 20 Simplifying c = 20
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