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Simplifying 0.05(3t + -7) = 0.15(t + 5) + -1.10 Reorder the terms: 0.05(-7 + 3t) = 0.15(t + 5) + -1.10 (-7 * 0.05 + 3t * 0.05) = 0.15(t + 5) + -1.10 (-0.35 + 0.15t) = 0.15(t + 5) + -1.10 Reorder the terms: -0.35 + 0.15t = 0.15(5 + t) + -1.10 -0.35 + 0.15t = (5 * 0.15 + t * 0.15) + -1.10 -0.35 + 0.15t = (0.75 + 0.15t) + -1.10 Reorder the terms: -0.35 + 0.15t = 0.75 + -1.10 + 0.15t Combine like terms: 0.75 + -1.10 = -0.35 -0.35 + 0.15t = -0.35 + 0.15t Add '0.35' to each side of the equation. -0.35 + 0.35 + 0.15t = -0.35 + 0.35 + 0.15t Combine like terms: -0.35 + 0.35 = 0.00 0.00 + 0.15t = -0.35 + 0.35 + 0.15t 0.15t = -0.35 + 0.35 + 0.15t Combine like terms: -0.35 + 0.35 = 0.00 0.15t = 0.00 + 0.15t 0.15t = 0.15t Add '-0.15t' to each side of the equation. 0.15t + -0.15t = 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 0.00 0.00 = 0.15t + -0.15t Combine like terms: 0.15t + -0.15t = 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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