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Simplifying 0.45(c + -10) + 0.55(c + 4) = 1.7 Reorder the terms: 0.45(-10 + c) + 0.55(c + 4) = 1.7 (-10 * 0.45 + c * 0.45) + 0.55(c + 4) = 1.7 (-4.5 + 0.45c) + 0.55(c + 4) = 1.7 Reorder the terms: -4.5 + 0.45c + 0.55(4 + c) = 1.7 -4.5 + 0.45c + (4 * 0.55 + c * 0.55) = 1.7 -4.5 + 0.45c + (2.2 + 0.55c) = 1.7 Reorder the terms: -4.5 + 2.2 + 0.45c + 0.55c = 1.7 Combine like terms: -4.5 + 2.2 = -2.3 -2.3 + 0.45c + 0.55c = 1.7 Combine like terms: 0.45c + 0.55c = 1c -2.3 + 1c = 1.7 Solving -2.3 + 1c = 1.7 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '2.3' to each side of the equation. -2.3 + 2.3 + 1c = 1.7 + 2.3 Combine like terms: -2.3 + 2.3 = 0.0 0.0 + 1c = 1.7 + 2.3 1c = 1.7 + 2.3 Combine like terms: 1.7 + 2.3 = 4 1c = 4 Divide each side by '1'. c = 4 Simplifying c = 4
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