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Simplifying 0.07(6t + -7) = 0.42(t + -3) + 0.77 Reorder the terms: 0.07(-7 + 6t) = 0.42(t + -3) + 0.77 (-7 * 0.07 + 6t * 0.07) = 0.42(t + -3) + 0.77 (-0.49 + 0.42t) = 0.42(t + -3) + 0.77 Reorder the terms: -0.49 + 0.42t = 0.42(-3 + t) + 0.77 -0.49 + 0.42t = (-3 * 0.42 + t * 0.42) + 0.77 -0.49 + 0.42t = (-1.26 + 0.42t) + 0.77 Reorder the terms: -0.49 + 0.42t = -1.26 + 0.77 + 0.42t Combine like terms: -1.26 + 0.77 = -0.49 -0.49 + 0.42t = -0.49 + 0.42t Add '0.49' to each side of the equation. -0.49 + 0.49 + 0.42t = -0.49 + 0.49 + 0.42t Combine like terms: -0.49 + 0.49 = 0.00 0.00 + 0.42t = -0.49 + 0.49 + 0.42t 0.42t = -0.49 + 0.49 + 0.42t Combine like terms: -0.49 + 0.49 = 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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