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Simplifying 9.06t + -1(8.1t + 6) = t + 3 Reorder the terms: 9.06t + -1(6 + 8.1t) = t + 3 9.06t + (6 * -1 + 8.1t * -1) = t + 3 9.06t + (-6 + -8.1t) = t + 3 Reorder the terms: -6 + 9.06t + -8.1t = t + 3 Combine like terms: 9.06t + -8.1t = 0.96t -6 + 0.96t = t + 3 Reorder the terms: -6 + 0.96t = 3 + t Solving -6 + 0.96t = 3 + 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. -6 + 0.96t + -1t = 3 + t + -1t Combine like terms: 0.96t + -1t = -0.04t -6 + -0.04t = 3 + t + -1t Combine like terms: t + -1t = 0 -6 + -0.04t = 3 + 0 -6 + -0.04t = 3 Add '6' to each side of the equation. -6 + 6 + -0.04t = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -0.04t = 3 + 6 -0.04t = 3 + 6 Combine like terms: 3 + 6 = 9 -0.04t = 9 Divide each side by '-0.04'. t = -225 Simplifying t = -225
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