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Simplifying 0.07(6t + -5) = 0.42(t + 5) + -2.45 Reorder the terms: 0.07(-5 + 6t) = 0.42(t + 5) + -2.45 (-5 * 0.07 + 6t * 0.07) = 0.42(t + 5) + -2.45 (-0.35 + 0.42t) = 0.42(t + 5) + -2.45 Reorder the terms: -0.35 + 0.42t = 0.42(5 + t) + -2.45 -0.35 + 0.42t = (5 * 0.42 + t * 0.42) + -2.45 -0.35 + 0.42t = (2.1 + 0.42t) + -2.45 Reorder the terms: -0.35 + 0.42t = 2.1 + -2.45 + 0.42t Combine like terms: 2.1 + -2.45 = -0.35 -0.35 + 0.42t = -0.35 + 0.42t Add '0.35' to each side of the equation. -0.35 + 0.35 + 0.42t = -0.35 + 0.35 + 0.42t Combine like terms: -0.35 + 0.35 = 0.00 0.00 + 0.42t = -0.35 + 0.35 + 0.42t 0.42t = -0.35 + 0.35 + 0.42t Combine like terms: -0.35 + 0.35 = 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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