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Simplifying 0.06(2t + -7) = 0.12(t + 5) + -1.02 Reorder the terms: 0.06(-7 + 2t) = 0.12(t + 5) + -1.02 (-7 * 0.06 + 2t * 0.06) = 0.12(t + 5) + -1.02 (-0.42 + 0.12t) = 0.12(t + 5) + -1.02 Reorder the terms: -0.42 + 0.12t = 0.12(5 + t) + -1.02 -0.42 + 0.12t = (5 * 0.12 + t * 0.12) + -1.02 -0.42 + 0.12t = (0.6 + 0.12t) + -1.02 Reorder the terms: -0.42 + 0.12t = 0.6 + -1.02 + 0.12t Combine like terms: 0.6 + -1.02 = -0.42 -0.42 + 0.12t = -0.42 + 0.12t Add '0.42' to each side of the equation. -0.42 + 0.42 + 0.12t = -0.42 + 0.42 + 0.12t Combine like terms: -0.42 + 0.42 = 0.00 0.00 + 0.12t = -0.42 + 0.42 + 0.12t 0.12t = -0.42 + 0.42 + 0.12t Combine like terms: -0.42 + 0.42 = 0.00 0.12t = 0.00 + 0.12t 0.12t = 0.12t Add '-0.12t' to each side of the equation. 0.12t + -0.12t = 0.12t + -0.12t Combine like terms: 0.12t + -0.12t = 0.00 0.00 = 0.12t + -0.12t Combine like terms: 0.12t + -0.12t = 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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