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Simplifying 0.06(3t + -4) = 0.18(t + -3) + 30 Reorder the terms: 0.06(-4 + 3t) = 0.18(t + -3) + 30 (-4 * 0.06 + 3t * 0.06) = 0.18(t + -3) + 30 (-0.24 + 0.18t) = 0.18(t + -3) + 30 Reorder the terms: -0.24 + 0.18t = 0.18(-3 + t) + 30 -0.24 + 0.18t = (-3 * 0.18 + t * 0.18) + 30 -0.24 + 0.18t = (-0.54 + 0.18t) + 30 Reorder the terms: -0.24 + 0.18t = -0.54 + 30 + 0.18t Combine like terms: -0.54 + 30 = 29.46 -0.24 + 0.18t = 29.46 + 0.18t Add '-0.18t' to each side of the equation. -0.24 + 0.18t + -0.18t = 29.46 + 0.18t + -0.18t Combine like terms: 0.18t + -0.18t = 0.00 -0.24 + 0.00 = 29.46 + 0.18t + -0.18t -0.24 = 29.46 + 0.18t + -0.18t Combine like terms: 0.18t + -0.18t = 0.00 -0.24 = 29.46 + 0.00 -0.24 = 29.46 Solving -0.24 = 29.46 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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