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Simplifying 0.05(3t + 3) = 0.15(t + -5) + 0.90 Reorder the terms: 0.05(3 + 3t) = 0.15(t + -5) + 0.90 (3 * 0.05 + 3t * 0.05) = 0.15(t + -5) + 0.90 (0.15 + 0.15t) = 0.15(t + -5) + 0.90 Reorder the terms: 0.15 + 0.15t = 0.15(-5 + t) + 0.90 0.15 + 0.15t = (-5 * 0.15 + t * 0.15) + 0.90 0.15 + 0.15t = (-0.75 + 0.15t) + 0.90 Reorder the terms: 0.15 + 0.15t = -0.75 + 0.90 + 0.15t Combine like terms: -0.75 + 0.90 = 0.15 0.15 + 0.15t = 0.15 + 0.15t Add '-0.15' to each side of the equation. 0.15 + -0.15 + 0.15t = 0.15 + -0.15 + 0.15t Combine like terms: 0.15 + -0.15 = 0.00 0.00 + 0.15t = 0.15 + -0.15 + 0.15t 0.15t = 0.15 + -0.15 + 0.15t Combine like terms: 0.15 + -0.15 = 0.00 0.15t = 0.00 + 0.15t 0.15t = 0.15t Add '-0.15t' to each side of the equation. 0.15t + -0.15t = 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 0.00 0.00 = 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 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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