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Simplifying 0.06 + -0.01(t + 1) = -0.02(2 + -1t) Reorder the terms: 0.06 + -0.01(1 + t) = -0.02(2 + -1t) 0.06 + (1 * -0.01 + t * -0.01) = -0.02(2 + -1t) 0.06 + (-0.01 + -0.01t) = -0.02(2 + -1t) Combine like terms: 0.06 + -0.01 = 0.05 0.05 + -0.01t = -0.02(2 + -1t) 0.05 + -0.01t = (2 * -0.02 + -1t * -0.02) 0.05 + -0.01t = (-0.04 + 0.02t) Solving 0.05 + -0.01t = -0.04 + 0.02t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.02t' to each side of the equation. 0.05 + -0.01t + -0.02t = -0.04 + 0.02t + -0.02t Combine like terms: -0.01t + -0.02t = -0.03t 0.05 + -0.03t = -0.04 + 0.02t + -0.02t Combine like terms: 0.02t + -0.02t = 0.00 0.05 + -0.03t = -0.04 + 0.00 0.05 + -0.03t = -0.04 Add '-0.05' to each side of the equation. 0.05 + -0.05 + -0.03t = -0.04 + -0.05 Combine like terms: 0.05 + -0.05 = 0.00 0.00 + -0.03t = -0.04 + -0.05 -0.03t = -0.04 + -0.05 Combine like terms: -0.04 + -0.05 = -0.09 -0.03t = -0.09 Divide each side by '-0.03'. t = 3 Simplifying t = 3
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