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Simplifying 0.05(6t + 7) = 0.30(t + 1) + 0.05 Reorder the terms: 0.05(7 + 6t) = 0.30(t + 1) + 0.05 (7 * 0.05 + 6t * 0.05) = 0.30(t + 1) + 0.05 (0.35 + 0.3t) = 0.30(t + 1) + 0.05 Reorder the terms: 0.35 + 0.3t = 0.30(1 + t) + 0.05 0.35 + 0.3t = (1 * 0.30 + t * 0.30) + 0.05 0.35 + 0.3t = (0.3 + 0.30t) + 0.05 Reorder the terms: 0.35 + 0.3t = 0.3 + 0.05 + 0.30t Combine like terms: 0.3 + 0.05 = 0.35 0.35 + 0.3t = 0.35 + 0.30t Add '-0.35' to each side of the equation. 0.35 + -0.35 + 0.3t = 0.35 + -0.35 + 0.30t Combine like terms: 0.35 + -0.35 = 0.00 0.00 + 0.3t = 0.35 + -0.35 + 0.30t 0.3t = 0.35 + -0.35 + 0.30t Combine like terms: 0.35 + -0.35 = 0.00 0.3t = 0.00 + 0.30t 0.3t = 0.30t Add '-0.3t' to each side of the equation. 0.3t + -0.3t = 0.30t + -0.3t Combine like terms: 0.3t + -0.3t = 0.0 0.0 = 0.30t + -0.3t Combine like terms: 0.30t + -0.3t = 0.00 0.0 = 0.00 Solving 0.0 = 0.00 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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