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Simplifying 0.02(12c + -78) = -0.6(c + -3) Reorder the terms: 0.02(-78 + 12c) = -0.6(c + -3) (-78 * 0.02 + 12c * 0.02) = -0.6(c + -3) (-1.56 + 0.24c) = -0.6(c + -3) Reorder the terms: -1.56 + 0.24c = -0.6(-3 + c) -1.56 + 0.24c = (-3 * -0.6 + c * -0.6) -1.56 + 0.24c = (1.8 + -0.6c) Solving -1.56 + 0.24c = 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. -1.56 + 0.24c + 0.6c = 1.8 + -0.6c + 0.6c Combine like terms: 0.24c + 0.6c = 0.84c -1.56 + 0.84c = 1.8 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.56 + 0.84c = 1.8 + 0.0 -1.56 + 0.84c = 1.8 Add '1.56' to each side of the equation. -1.56 + 1.56 + 0.84c = 1.8 + 1.56 Combine like terms: -1.56 + 1.56 = 0.00 0.00 + 0.84c = 1.8 + 1.56 0.84c = 1.8 + 1.56 Combine like terms: 1.8 + 1.56 = 3.36 0.84c = 3.36 Divide each side by '0.84'. c = 4 Simplifying c = 4
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