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Simplifying 0.05(2t + -3) = 0.10(t + 3) + -0.45 Reorder the terms: 0.05(-3 + 2t) = 0.10(t + 3) + -0.45 (-3 * 0.05 + 2t * 0.05) = 0.10(t + 3) + -0.45 (-0.15 + 0.1t) = 0.10(t + 3) + -0.45 Reorder the terms: -0.15 + 0.1t = 0.10(3 + t) + -0.45 -0.15 + 0.1t = (3 * 0.10 + t * 0.10) + -0.45 -0.15 + 0.1t = (0.3 + 0.10t) + -0.45 Reorder the terms: -0.15 + 0.1t = 0.3 + -0.45 + 0.10t Combine like terms: 0.3 + -0.45 = -0.15 -0.15 + 0.1t = -0.15 + 0.10t Add '0.15' to each side of the equation. -0.15 + 0.15 + 0.1t = -0.15 + 0.15 + 0.10t Combine like terms: -0.15 + 0.15 = 0.00 0.00 + 0.1t = -0.15 + 0.15 + 0.10t 0.1t = -0.15 + 0.15 + 0.10t Combine like terms: -0.15 + 0.15 = 0.00 0.1t = 0.00 + 0.10t 0.1t = 0.10t Add '-0.1t' to each side of the equation. 0.1t + -0.1t = 0.10t + -0.1t Combine like terms: 0.1t + -0.1t = 0.0 0.0 = 0.10t + -0.1t Combine like terms: 0.10t + -0.1t = 0.00 0.0 = 0.00 Solving 0.0 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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