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Simplifying 0.03(6c + -44) = -0.6(c + -3) Reorder the terms: 0.03(-44 + 6c) = -0.6(c + -3) (-44 * 0.03 + 6c * 0.03) = -0.6(c + -3) (-1.32 + 0.18c) = -0.6(c + -3) Reorder the terms: -1.32 + 0.18c = -0.6(-3 + c) -1.32 + 0.18c = (-3 * -0.6 + c * -0.6) -1.32 + 0.18c = (1.8 + -0.6c) Solving -1.32 + 0.18c = 1.8 + -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. -1.32 + 0.18c + 0.6c = 1.8 + -0.6c + 0.6c Combine like terms: 0.18c + 0.6c = 0.78c -1.32 + 0.78c = 1.8 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.32 + 0.78c = 1.8 + 0.0 -1.32 + 0.78c = 1.8 Add '1.32' to each side of the equation. -1.32 + 1.32 + 0.78c = 1.8 + 1.32 Combine like terms: -1.32 + 1.32 = 0.00 0.00 + 0.78c = 1.8 + 1.32 0.78c = 1.8 + 1.32 Combine like terms: 1.8 + 1.32 = 3.12 0.78c = 3.12 Divide each side by '0.78'. c = 4 Simplifying c = 4
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