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Simplifying 0.02(7t + -4) = 0.14(t + 5) + -0.78 Reorder the terms: 0.02(-4 + 7t) = 0.14(t + 5) + -0.78 (-4 * 0.02 + 7t * 0.02) = 0.14(t + 5) + -0.78 (-0.08 + 0.14t) = 0.14(t + 5) + -0.78 Reorder the terms: -0.08 + 0.14t = 0.14(5 + t) + -0.78 -0.08 + 0.14t = (5 * 0.14 + t * 0.14) + -0.78 -0.08 + 0.14t = (0.7 + 0.14t) + -0.78 Reorder the terms: -0.08 + 0.14t = 0.7 + -0.78 + 0.14t Combine like terms: 0.7 + -0.78 = -0.08 -0.08 + 0.14t = -0.08 + 0.14t Add '0.08' to each side of the equation. -0.08 + 0.08 + 0.14t = -0.08 + 0.08 + 0.14t Combine like terms: -0.08 + 0.08 = 0.00 0.00 + 0.14t = -0.08 + 0.08 + 0.14t 0.14t = -0.08 + 0.08 + 0.14t Combine like terms: -0.08 + 0.08 = 0.00 0.14t = 0.00 + 0.14t 0.14t = 0.14t Add '-0.14t' to each side of the equation. 0.14t + -0.14t = 0.14t + -0.14t Combine like terms: 0.14t + -0.14t = 0.00 0.00 = 0.14t + -0.14t Combine like terms: 0.14t + -0.14t = 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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