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Simplifying 0.04(12) + 0.01t + -0.02(12 + -1t) = 0 Multiply 0.04 * 12 0.48 + 0.01t + -0.02(12 + -1t) = 0 0.48 + 0.01t + (12 * -0.02 + -1t * -0.02) = 0 0.48 + 0.01t + (-0.24 + 0.02t) = 0 Reorder the terms: 0.48 + -0.24 + 0.01t + 0.02t = 0 Combine like terms: 0.48 + -0.24 = 0.24 0.24 + 0.01t + 0.02t = 0 Combine like terms: 0.01t + 0.02t = 0.03t 0.24 + 0.03t = 0 Solving 0.24 + 0.03t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.24' to each side of the equation. 0.24 + -0.24 + 0.03t = 0 + -0.24 Combine like terms: 0.24 + -0.24 = 0.00 0.00 + 0.03t = 0 + -0.24 0.03t = 0 + -0.24 Combine like terms: 0 + -0.24 = -0.24 0.03t = -0.24 Divide each side by '0.03'. t = -8 Simplifying t = -8
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