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Simplifying 0.5(c + 3) + -0.3(c + -2) = 0 Reorder the terms: 0.5(3 + c) + -0.3(c + -2) = 0 (3 * 0.5 + c * 0.5) + -0.3(c + -2) = 0 (1.5 + 0.5c) + -0.3(c + -2) = 0 Reorder the terms: 1.5 + 0.5c + -0.3(-2 + c) = 0 1.5 + 0.5c + (-2 * -0.3 + c * -0.3) = 0 1.5 + 0.5c + (0.6 + -0.3c) = 0 Reorder the terms: 1.5 + 0.6 + 0.5c + -0.3c = 0 Combine like terms: 1.5 + 0.6 = 2.1 2.1 + 0.5c + -0.3c = 0 Combine like terms: 0.5c + -0.3c = 0.2c 2.1 + 0.2c = 0 Solving 2.1 + 0.2c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-2.1' to each side of the equation. 2.1 + -2.1 + 0.2c = 0 + -2.1 Combine like terms: 2.1 + -2.1 = 0.0 0.0 + 0.2c = 0 + -2.1 0.2c = 0 + -2.1 Combine like terms: 0 + -2.1 = -2.1 0.2c = -2.1 Divide each side by '0.2'. c = -10.5 Simplifying c = -10.5
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