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Simplifying 0.02(6t + -3) = 0.04(t + -2) + 0.02 Reorder the terms: 0.02(-3 + 6t) = 0.04(t + -2) + 0.02 (-3 * 0.02 + 6t * 0.02) = 0.04(t + -2) + 0.02 (-0.06 + 0.12t) = 0.04(t + -2) + 0.02 Reorder the terms: -0.06 + 0.12t = 0.04(-2 + t) + 0.02 -0.06 + 0.12t = (-2 * 0.04 + t * 0.04) + 0.02 -0.06 + 0.12t = (-0.08 + 0.04t) + 0.02 Reorder the terms: -0.06 + 0.12t = -0.08 + 0.02 + 0.04t Combine like terms: -0.08 + 0.02 = -0.06 -0.06 + 0.12t = -0.06 + 0.04t Add '0.06' to each side of the equation. -0.06 + 0.06 + 0.12t = -0.06 + 0.06 + 0.04t Combine like terms: -0.06 + 0.06 = 0.00 0.00 + 0.12t = -0.06 + 0.06 + 0.04t 0.12t = -0.06 + 0.06 + 0.04t Combine like terms: -0.06 + 0.06 = 0.00 0.12t = 0.00 + 0.04t 0.12t = 0.04t Solving 0.12t = 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. 0.12t + -0.04t = 0.04t + -0.04t Combine like terms: 0.12t + -0.04t = 0.08t 0.08t = 0.04t + -0.04t Combine like terms: 0.04t + -0.04t = 0.00 0.08t = 0.00 Divide each side by '0.08'. t = 0 Simplifying t = 0
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