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Simplifying 0.06(7t + -2) = 0.42(t + -1) + 0.30 Reorder the terms: 0.06(-2 + 7t) = 0.42(t + -1) + 0.30 (-2 * 0.06 + 7t * 0.06) = 0.42(t + -1) + 0.30 (-0.12 + 0.42t) = 0.42(t + -1) + 0.30 Reorder the terms: -0.12 + 0.42t = 0.42(-1 + t) + 0.30 -0.12 + 0.42t = (-1 * 0.42 + t * 0.42) + 0.30 -0.12 + 0.42t = (-0.42 + 0.42t) + 0.30 Reorder the terms: -0.12 + 0.42t = -0.42 + 0.30 + 0.42t Combine like terms: -0.42 + 0.30 = -0.12 -0.12 + 0.42t = -0.12 + 0.42t Add '0.12' to each side of the equation. -0.12 + 0.12 + 0.42t = -0.12 + 0.12 + 0.42t Combine like terms: -0.12 + 0.12 = 0.00 0.00 + 0.42t = -0.12 + 0.12 + 0.42t 0.42t = -0.12 + 0.12 + 0.42t Combine like terms: -0.12 + 0.12 = 0.00 0.42t = 0.00 + 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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