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Simplifying 0.02(4t + -1) = 0.08(t + -3) + 0.22 Reorder the terms: 0.02(-1 + 4t) = 0.08(t + -3) + 0.22 (-1 * 0.02 + 4t * 0.02) = 0.08(t + -3) + 0.22 (-0.02 + 0.08t) = 0.08(t + -3) + 0.22 Reorder the terms: -0.02 + 0.08t = 0.08(-3 + t) + 0.22 -0.02 + 0.08t = (-3 * 0.08 + t * 0.08) + 0.22 -0.02 + 0.08t = (-0.24 + 0.08t) + 0.22 Reorder the terms: -0.02 + 0.08t = -0.24 + 0.22 + 0.08t Combine like terms: -0.24 + 0.22 = -0.02 -0.02 + 0.08t = -0.02 + 0.08t Add '0.02' to each side of the equation. -0.02 + 0.02 + 0.08t = -0.02 + 0.02 + 0.08t Combine like terms: -0.02 + 0.02 = 0.00 0.00 + 0.08t = -0.02 + 0.02 + 0.08t 0.08t = -0.02 + 0.02 + 0.08t Combine like terms: -0.02 + 0.02 = 0.00 0.08t = 0.00 + 0.08t 0.08t = 0.08t Add '-0.08t' to each side of the equation. 0.08t + -0.08t = 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 0.00 = 0.08t + -0.08t Combine like terms: 0.08t + -0.08t = 0.00 0.00 = 0.00 Solving 0.00 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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