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Simplifying 0.04(2c + -28) = -0.8(c + -3) Reorder the terms: 0.04(-28 + 2c) = -0.8(c + -3) (-28 * 0.04 + 2c * 0.04) = -0.8(c + -3) (-1.12 + 0.08c) = -0.8(c + -3) Reorder the terms: -1.12 + 0.08c = -0.8(-3 + c) -1.12 + 0.08c = (-3 * -0.8 + c * -0.8) -1.12 + 0.08c = (2.4 + -0.8c) Solving -1.12 + 0.08c = 2.4 + -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. -1.12 + 0.08c + 0.8c = 2.4 + -0.8c + 0.8c Combine like terms: 0.08c + 0.8c = 0.88c -1.12 + 0.88c = 2.4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.12 + 0.88c = 2.4 + 0.0 -1.12 + 0.88c = 2.4 Add '1.12' to each side of the equation. -1.12 + 1.12 + 0.88c = 2.4 + 1.12 Combine like terms: -1.12 + 1.12 = 0.00 0.00 + 0.88c = 2.4 + 1.12 0.88c = 2.4 + 1.12 Combine like terms: 2.4 + 1.12 = 3.52 0.88c = 3.52 Divide each side by '0.88'. c = 4 Simplifying c = 4
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