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Simplifying 0.03(6c + -50) = -0.6(c + -4) Reorder the terms: 0.03(-50 + 6c) = -0.6(c + -4) (-50 * 0.03 + 6c * 0.03) = -0.6(c + -4) (-1.5 + 0.18c) = -0.6(c + -4) Reorder the terms: -1.5 + 0.18c = -0.6(-4 + c) -1.5 + 0.18c = (-4 * -0.6 + c * -0.6) -1.5 + 0.18c = (2.4 + -0.6c) Solving -1.5 + 0.18c = 2.4 + -0.6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.6c' to each side of the equation. -1.5 + 0.18c + 0.6c = 2.4 + -0.6c + 0.6c Combine like terms: 0.18c + 0.6c = 0.78c -1.5 + 0.78c = 2.4 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.5 + 0.78c = 2.4 + 0.0 -1.5 + 0.78c = 2.4 Add '1.5' to each side of the equation. -1.5 + 1.5 + 0.78c = 2.4 + 1.5 Combine like terms: -1.5 + 1.5 = 0.0 0.0 + 0.78c = 2.4 + 1.5 0.78c = 2.4 + 1.5 Combine like terms: 2.4 + 1.5 = 3.9 0.78c = 3.9 Divide each side by '0.78'. c = 5 Simplifying c = 5
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