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Simplifying 0.07(7t + 6) = 0.49(t + 4) + -1.54 Reorder the terms: 0.07(6 + 7t) = 0.49(t + 4) + -1.54 (6 * 0.07 + 7t * 0.07) = 0.49(t + 4) + -1.54 (0.42 + 0.49t) = 0.49(t + 4) + -1.54 Reorder the terms: 0.42 + 0.49t = 0.49(4 + t) + -1.54 0.42 + 0.49t = (4 * 0.49 + t * 0.49) + -1.54 0.42 + 0.49t = (1.96 + 0.49t) + -1.54 Reorder the terms: 0.42 + 0.49t = 1.96 + -1.54 + 0.49t Combine like terms: 1.96 + -1.54 = 0.42 0.42 + 0.49t = 0.42 + 0.49t Add '-0.42' to each side of the equation. 0.42 + -0.42 + 0.49t = 0.42 + -0.42 + 0.49t Combine like terms: 0.42 + -0.42 = 0.00 0.00 + 0.49t = 0.42 + -0.42 + 0.49t 0.49t = 0.42 + -0.42 + 0.49t Combine like terms: 0.42 + -0.42 = 0.00 0.49t = 0.00 + 0.49t 0.49t = 0.49t Add '-0.49t' to each side of the equation. 0.49t + -0.49t = 0.49t + -0.49t Combine like terms: 0.49t + -0.49t = 0.00 0.00 = 0.49t + -0.49t Combine like terms: 0.49t + -0.49t = 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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