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Simplifying 0.06(7t + 5) = 0.42(t + -2) + 1.14 Reorder the terms: 0.06(5 + 7t) = 0.42(t + -2) + 1.14 (5 * 0.06 + 7t * 0.06) = 0.42(t + -2) + 1.14 (0.3 + 0.42t) = 0.42(t + -2) + 1.14 Reorder the terms: 0.3 + 0.42t = 0.42(-2 + t) + 1.14 0.3 + 0.42t = (-2 * 0.42 + t * 0.42) + 1.14 0.3 + 0.42t = (-0.84 + 0.42t) + 1.14 Reorder the terms: 0.3 + 0.42t = -0.84 + 1.14 + 0.42t Combine like terms: -0.84 + 1.14 = 0.3 0.3 + 0.42t = 0.3 + 0.42t Add '-0.3' to each side of the equation. 0.3 + -0.3 + 0.42t = 0.3 + -0.3 + 0.42t Combine like terms: 0.3 + -0.3 = 0.0 0.0 + 0.42t = 0.3 + -0.3 + 0.42t 0.42t = 0.3 + -0.3 + 0.42t Combine like terms: 0.3 + -0.3 = 0.0 0.42t = 0.0 + 0.42t 0.42t = 0.42t Add '-0.42t' to each side of the equation. 0.42t + -0.42t = 0.42t + -0.42t Combine like terms: 0.42t + -0.42t = 0.00 0.00 = 0.42t + -0.42t Combine like terms: 0.42t + -0.42t = 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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