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Simplifying 0.03(7t + -9) = 0.21(t + -5) + 0.78 Reorder the terms: 0.03(-9 + 7t) = 0.21(t + -5) + 0.78 (-9 * 0.03 + 7t * 0.03) = 0.21(t + -5) + 0.78 (-0.27 + 0.21t) = 0.21(t + -5) + 0.78 Reorder the terms: -0.27 + 0.21t = 0.21(-5 + t) + 0.78 -0.27 + 0.21t = (-5 * 0.21 + t * 0.21) + 0.78 -0.27 + 0.21t = (-1.05 + 0.21t) + 0.78 Reorder the terms: -0.27 + 0.21t = -1.05 + 0.78 + 0.21t Combine like terms: -1.05 + 0.78 = -0.27 -0.27 + 0.21t = -0.27 + 0.21t Add '0.27' to each side of the equation. -0.27 + 0.27 + 0.21t = -0.27 + 0.27 + 0.21t Combine like terms: -0.27 + 0.27 = 0.00 0.00 + 0.21t = -0.27 + 0.27 + 0.21t 0.21t = -0.27 + 0.27 + 0.21t Combine like terms: -0.27 + 0.27 = 0.00 0.21t = 0.00 + 0.21t 0.21t = 0.21t Add '-0.21t' to each side of the equation. 0.21t + -0.21t = 0.21t + -0.21t Combine like terms: 0.21t + -0.21t = 0.00 0.00 = 0.21t + -0.21t Combine like terms: 0.21t + -0.21t = 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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