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Simplifying 0.02(4t + -6) = 0.08(t + -4) + 0.20 Reorder the terms: 0.02(-6 + 4t) = 0.08(t + -4) + 0.20 (-6 * 0.02 + 4t * 0.02) = 0.08(t + -4) + 0.20 (-0.12 + 0.08t) = 0.08(t + -4) + 0.20 Reorder the terms: -0.12 + 0.08t = 0.08(-4 + t) + 0.20 -0.12 + 0.08t = (-4 * 0.08 + t * 0.08) + 0.20 -0.12 + 0.08t = (-0.32 + 0.08t) + 0.20 Reorder the terms: -0.12 + 0.08t = -0.32 + 0.20 + 0.08t Combine like terms: -0.32 + 0.20 = -0.12 -0.12 + 0.08t = -0.12 + 0.08t Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.08t = -0.12 + 0.12 + 0.08t Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.08t = -0.12 + 0.12 + 0.08t 0.08t = -0.12 + 0.12 + 0.08t Combine like terms: -0.12 + 0.12 = 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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