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Simplifying 0.02(6 + -3) = 0.04(t + -2) + -0.02 Combine like terms: 6 + -3 = 3 0.02(3) = 0.04(t + -2) + -0.02 Multiply 0.02 * 3 0.06 = 0.04(t + -2) + -0.02 Reorder the terms: 0.06 = 0.04(-2 + t) + -0.02 0.06 = (-2 * 0.04 + t * 0.04) + -0.02 0.06 = (-0.08 + 0.04t) + -0.02 Reorder the terms: 0.06 = -0.08 + -0.02 + 0.04t Combine like terms: -0.08 + -0.02 = -0.1 0.06 = -0.1 + 0.04t Solving 0.06 = -0.1 + 0.04t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-0.04t' to each side of the equation. 0.06 + -0.04t = -0.1 + 0.04t + -0.04t Combine like terms: 0.04t + -0.04t = 0.00 0.06 + -0.04t = -0.1 + 0.00 0.06 + -0.04t = -0.1 Add '-0.06' to each side of the equation. 0.06 + -0.06 + -0.04t = -0.1 + -0.06 Combine like terms: 0.06 + -0.06 = 0.00 0.00 + -0.04t = -0.1 + -0.06 -0.04t = -0.1 + -0.06 Combine like terms: -0.1 + -0.06 = -0.16 -0.04t = -0.16 Divide each side by '-0.04'. t = 4 Simplifying t = 4
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