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Simplifying 7.07t + -1(6.1t + 7) = t + 2 Reorder the terms: 7.07t + -1(7 + 6.1t) = t + 2 7.07t + (7 * -1 + 6.1t * -1) = t + 2 7.07t + (-7 + -6.1t) = t + 2 Reorder the terms: -7 + 7.07t + -6.1t = t + 2 Combine like terms: 7.07t + -6.1t = 0.97t -7 + 0.97t = t + 2 Reorder the terms: -7 + 0.97t = 2 + t Solving -7 + 0.97t = 2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -7 + 0.97t + -1t = 2 + t + -1t Combine like terms: 0.97t + -1t = -0.03t -7 + -0.03t = 2 + t + -1t Combine like terms: t + -1t = 0 -7 + -0.03t = 2 + 0 -7 + -0.03t = 2 Add '7' to each side of the equation. -7 + 7 + -0.03t = 2 + 7 Combine like terms: -7 + 7 = 0 0 + -0.03t = 2 + 7 -0.03t = 2 + 7 Combine like terms: 2 + 7 = 9 -0.03t = 9 Divide each side by '-0.03'. t = -300 Simplifying t = -300
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