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Simplifying 0.5(6c + 4) + -2(c + 1.5) = 0.6(9 + -3c) Reorder the terms: 0.5(4 + 6c) + -2(c + 1.5) = 0.6(9 + -3c) (4 * 0.5 + 6c * 0.5) + -2(c + 1.5) = 0.6(9 + -3c) (2 + 3c) + -2(c + 1.5) = 0.6(9 + -3c) Reorder the terms: 2 + 3c + -2(1.5 + c) = 0.6(9 + -3c) 2 + 3c + (1.5 * -2 + c * -2) = 0.6(9 + -3c) 2 + 3c + (-3 + -2c) = 0.6(9 + -3c) Reorder the terms: 2 + -3 + 3c + -2c = 0.6(9 + -3c) Combine like terms: 2 + -3 = -1 -1 + 3c + -2c = 0.6(9 + -3c) Combine like terms: 3c + -2c = 1c -1 + 1c = 0.6(9 + -3c) -1 + 1c = (9 * 0.6 + -3c * 0.6) -1 + 1c = (5.4 + -1.8c) Solving -1 + 1c = 5.4 + -1.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '1.8c' to each side of the equation. -1 + 1c + 1.8c = 5.4 + -1.8c + 1.8c Combine like terms: 1c + 1.8c = 2.8c -1 + 2.8c = 5.4 + -1.8c + 1.8c Combine like terms: -1.8c + 1.8c = 0.0 -1 + 2.8c = 5.4 + 0.0 -1 + 2.8c = 5.4 Add '1' to each side of the equation. -1 + 1 + 2.8c = 5.4 + 1 Combine like terms: -1 + 1 = 0 0 + 2.8c = 5.4 + 1 2.8c = 5.4 + 1 Combine like terms: 5.4 + 1 = 6.4 2.8c = 6.4 Divide each side by '2.8'. c = 2.285714286 Simplifying c = 2.285714286
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