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Simplifying 0.04(2c + -54) = -0.8(c + -5) Reorder the terms: 0.04(-54 + 2c) = -0.8(c + -5) (-54 * 0.04 + 2c * 0.04) = -0.8(c + -5) (-2.16 + 0.08c) = -0.8(c + -5) Reorder the terms: -2.16 + 0.08c = -0.8(-5 + c) -2.16 + 0.08c = (-5 * -0.8 + c * -0.8) -2.16 + 0.08c = (4 + -0.8c) Solving -2.16 + 0.08c = 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. -2.16 + 0.08c + 0.8c = 4 + -0.8c + 0.8c Combine like terms: 0.08c + 0.8c = 0.88c -2.16 + 0.88c = 4 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -2.16 + 0.88c = 4 + 0.0 -2.16 + 0.88c = 4 Add '2.16' to each side of the equation. -2.16 + 2.16 + 0.88c = 4 + 2.16 Combine like terms: -2.16 + 2.16 = 0.00 0.00 + 0.88c = 4 + 2.16 0.88c = 4 + 2.16 Combine like terms: 4 + 2.16 = 6.16 0.88c = 6.16 Divide each side by '0.88'. c = 7 Simplifying c = 7
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