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Simplifying 0.04(2c + -30) = -0.8(c + -4) Reorder the terms: 0.04(-30 + 2c) = -0.8(c + -4) (-30 * 0.04 + 2c * 0.04) = -0.8(c + -4) (-1.2 + 0.08c) = -0.8(c + -4) Reorder the terms: -1.2 + 0.08c = -0.8(-4 + c) -1.2 + 0.08c = (-4 * -0.8 + c * -0.8) -1.2 + 0.08c = (3.2 + -0.8c) Solving -1.2 + 0.08c = 3.2 + -0.8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '0.8c' to each side of the equation. -1.2 + 0.08c + 0.8c = 3.2 + -0.8c + 0.8c Combine like terms: 0.08c + 0.8c = 0.88c -1.2 + 0.88c = 3.2 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.2 + 0.88c = 3.2 + 0.0 -1.2 + 0.88c = 3.2 Add '1.2' to each side of the equation. -1.2 + 1.2 + 0.88c = 3.2 + 1.2 Combine like terms: -1.2 + 1.2 = 0.0 0.0 + 0.88c = 3.2 + 1.2 0.88c = 3.2 + 1.2 Combine like terms: 3.2 + 1.2 = 4.4 0.88c = 4.4 Divide each side by '0.88'. c = 5 Simplifying c = 5
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