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Simplifying 0.05(2t + 3) = 0.10(t + -2) + 0.35 Reorder the terms: 0.05(3 + 2t) = 0.10(t + -2) + 0.35 (3 * 0.05 + 2t * 0.05) = 0.10(t + -2) + 0.35 (0.15 + 0.1t) = 0.10(t + -2) + 0.35 Reorder the terms: 0.15 + 0.1t = 0.10(-2 + t) + 0.35 0.15 + 0.1t = (-2 * 0.10 + t * 0.10) + 0.35 0.15 + 0.1t = (-0.2 + 0.10t) + 0.35 Reorder the terms: 0.15 + 0.1t = -0.2 + 0.35 + 0.10t Combine like terms: -0.2 + 0.35 = 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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