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Simplifying 0.02(16c + -72) = -0.8(c + -1) Reorder the terms: 0.02(-72 + 16c) = -0.8(c + -1) (-72 * 0.02 + 16c * 0.02) = -0.8(c + -1) (-1.44 + 0.32c) = -0.8(c + -1) Reorder the terms: -1.44 + 0.32c = -0.8(-1 + c) -1.44 + 0.32c = (-1 * -0.8 + c * -0.8) -1.44 + 0.32c = (0.8 + -0.8c) Solving -1.44 + 0.32c = 0.8 + -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. -1.44 + 0.32c + 0.8c = 0.8 + -0.8c + 0.8c Combine like terms: 0.32c + 0.8c = 1.12c -1.44 + 1.12c = 0.8 + -0.8c + 0.8c Combine like terms: -0.8c + 0.8c = 0.0 -1.44 + 1.12c = 0.8 + 0.0 -1.44 + 1.12c = 0.8 Add '1.44' to each side of the equation. -1.44 + 1.44 + 1.12c = 0.8 + 1.44 Combine like terms: -1.44 + 1.44 = 0.00 0.00 + 1.12c = 0.8 + 1.44 1.12c = 0.8 + 1.44 Combine like terms: 0.8 + 1.44 = 2.24 1.12c = 2.24 Divide each side by '1.12'. c = 2 Simplifying c = 2
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