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Simplifying 0.03(3t + -7) = 0.09(t + -2) + -0.03 Reorder the terms: 0.03(-7 + 3t) = 0.09(t + -2) + -0.03 (-7 * 0.03 + 3t * 0.03) = 0.09(t + -2) + -0.03 (-0.21 + 0.09t) = 0.09(t + -2) + -0.03 Reorder the terms: -0.21 + 0.09t = 0.09(-2 + t) + -0.03 -0.21 + 0.09t = (-2 * 0.09 + t * 0.09) + -0.03 -0.21 + 0.09t = (-0.18 + 0.09t) + -0.03 Reorder the terms: -0.21 + 0.09t = -0.18 + -0.03 + 0.09t Combine like terms: -0.18 + -0.03 = -0.21 -0.21 + 0.09t = -0.21 + 0.09t Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.09t = -0.21 + 0.21 + 0.09t Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.09t = -0.21 + 0.21 + 0.09t 0.09t = -0.21 + 0.21 + 0.09t Combine like terms: -0.21 + 0.21 = 0.00 0.09t = 0.00 + 0.09t 0.09t = 0.09t Add '-0.09t' to each side of the equation. 0.09t + -0.09t = 0.09t + -0.09t Combine like terms: 0.09t + -0.09t = 0.00 0.00 = 0.09t + -0.09t Combine like terms: 0.09t + -0.09t = 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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