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Simplifying 0.07(7t + -7) = 0.49(t + 3) + -1.96 Reorder the terms: 0.07(-7 + 7t) = 0.49(t + 3) + -1.96 (-7 * 0.07 + 7t * 0.07) = 0.49(t + 3) + -1.96 (-0.49 + 0.49t) = 0.49(t + 3) + -1.96 Reorder the terms: -0.49 + 0.49t = 0.49(3 + t) + -1.96 -0.49 + 0.49t = (3 * 0.49 + t * 0.49) + -1.96 -0.49 + 0.49t = (1.47 + 0.49t) + -1.96 Reorder the terms: -0.49 + 0.49t = 1.47 + -1.96 + 0.49t Combine like terms: 1.47 + -1.96 = -0.49 -0.49 + 0.49t = -0.49 + 0.49t Add '0.49' to each side of the equation. -0.49 + 0.49 + 0.49t = -0.49 + 0.49 + 0.49t Combine like terms: -0.49 + 0.49 = 0.00 0.00 + 0.49t = -0.49 + 0.49 + 0.49t 0.49t = -0.49 + 0.49 + 0.49t Combine like terms: -0.49 + 0.49 = 0.00 0.49t = 0.00 + 0.49t 0.49t = 0.49t Add '-0.49t' to each side of the equation. 0.49t + -0.49t = 0.49t + -0.49t Combine like terms: 0.49t + -0.49t = 0.00 0.00 = 0.49t + -0.49t Combine like terms: 0.49t + -0.49t = 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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