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Simplifying 0.03(6c + -58) = -0.6(c + -1) Reorder the terms: 0.03(-58 + 6c) = -0.6(c + -1) (-58 * 0.03 + 6c * 0.03) = -0.6(c + -1) (-1.74 + 0.18c) = -0.6(c + -1) Reorder the terms: -1.74 + 0.18c = -0.6(-1 + c) -1.74 + 0.18c = (-1 * -0.6 + c * -0.6) -1.74 + 0.18c = (0.6 + -0.6c) Solving -1.74 + 0.18c = 0.6 + -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. -1.74 + 0.18c + 0.6c = 0.6 + -0.6c + 0.6c Combine like terms: 0.18c + 0.6c = 0.78c -1.74 + 0.78c = 0.6 + -0.6c + 0.6c Combine like terms: -0.6c + 0.6c = 0.0 -1.74 + 0.78c = 0.6 + 0.0 -1.74 + 0.78c = 0.6 Add '1.74' to each side of the equation. -1.74 + 1.74 + 0.78c = 0.6 + 1.74 Combine like terms: -1.74 + 1.74 = 0.00 0.00 + 0.78c = 0.6 + 1.74 0.78c = 0.6 + 1.74 Combine like terms: 0.6 + 1.74 = 2.34 0.78c = 2.34 Divide each side by '0.78'. c = 3 Simplifying c = 3
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