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Simplifying 0.14(t + -4) + 0.06t = 0.04t + -0.03(20) Reorder the terms: 0.14(-4 + t) + 0.06t = 0.04t + -0.03(20) (-4 * 0.14 + t * 0.14) + 0.06t = 0.04t + -0.03(20) (-0.56 + 0.14t) + 0.06t = 0.04t + -0.03(20) Combine like terms: 0.14t + 0.06t = 0.2t -0.56 + 0.2t = 0.04t + -0.03(20) Multiply -0.03 * 20 -0.56 + 0.2t = 0.04t + -0.6 Reorder the terms: -0.56 + 0.2t = -0.6 + 0.04t Solving -0.56 + 0.2t = -0.6 + 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. -0.56 + 0.2t + -0.04t = -0.6 + 0.04t + -0.04t Combine like terms: 0.2t + -0.04t = 0.16t -0.56 + 0.16t = -0.6 + 0.04t + -0.04t Combine like terms: 0.04t + -0.04t = 0.00 -0.56 + 0.16t = -0.6 + 0.00 -0.56 + 0.16t = -0.6 Add '0.56' to each side of the equation. -0.56 + 0.56 + 0.16t = -0.6 + 0.56 Combine like terms: -0.56 + 0.56 = 0.00 0.00 + 0.16t = -0.6 + 0.56 0.16t = -0.6 + 0.56 Combine like terms: -0.6 + 0.56 = -0.04 0.16t = -0.04 Divide each side by '0.16'. t = -0.25 Simplifying t = -0.25
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