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Simplifying 0.04(16) + 0.01t + -0.02(16 + t) = 0 Multiply 0.04 * 16 0.64 + 0.01t + -0.02(16 + t) = 0 0.64 + 0.01t + (16 * -0.02 + t * -0.02) = 0 0.64 + 0.01t + (-0.32 + -0.02t) = 0 Reorder the terms: 0.64 + -0.32 + 0.01t + -0.02t = 0 Combine like terms: 0.64 + -0.32 = 0.32 0.32 + 0.01t + -0.02t = 0 Combine like terms: 0.01t + -0.02t = -0.01t 0.32 + -0.01t = 0 Solving 0.32 + -0.01t = 0 Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.32' to each side of the equation. 0.32 + -0.32 + -0.01t = 0 + -0.32 Combine like terms: 0.32 + -0.32 = 0.00 0.00 + -0.01t = 0 + -0.32 -0.01t = 0 + -0.32 Combine like terms: 0 + -0.32 = -0.32 -0.01t = -0.32 Divide each side by '-0.01'. t = 32 Simplifying t = 32
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