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Simplifying 0.07(5t + -3) = 0.35(t + 5) + -1.96 Reorder the terms: 0.07(-3 + 5t) = 0.35(t + 5) + -1.96 (-3 * 0.07 + 5t * 0.07) = 0.35(t + 5) + -1.96 (-0.21 + 0.35t) = 0.35(t + 5) + -1.96 Reorder the terms: -0.21 + 0.35t = 0.35(5 + t) + -1.96 -0.21 + 0.35t = (5 * 0.35 + t * 0.35) + -1.96 -0.21 + 0.35t = (1.75 + 0.35t) + -1.96 Reorder the terms: -0.21 + 0.35t = 1.75 + -1.96 + 0.35t Combine like terms: 1.75 + -1.96 = -0.21 -0.21 + 0.35t = -0.21 + 0.35t Add '0.21' to each side of the equation. -0.21 + 0.21 + 0.35t = -0.21 + 0.21 + 0.35t Combine like terms: -0.21 + 0.21 = 0.00 0.00 + 0.35t = -0.21 + 0.21 + 0.35t 0.35t = -0.21 + 0.21 + 0.35t Combine like terms: -0.21 + 0.21 = 0.00 0.35t = 0.00 + 0.35t 0.35t = 0.35t Add '-0.35t' to each side of the equation. 0.35t + -0.35t = 0.35t + -0.35t Combine like terms: 0.35t + -0.35t = 0.00 0.00 = 0.35t + -0.35t Combine like terms: 0.35t + -0.35t = 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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