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Simplifying 1t + -2.1(t + 2) = 3(t + 1.5) Reorder the terms: 1t + -2.1(2 + t) = 3(t + 1.5) 1t + (2 * -2.1 + t * -2.1) = 3(t + 1.5) 1t + (-4.2 + -2.1t) = 3(t + 1.5) Reorder the terms: -4.2 + 1t + -2.1t = 3(t + 1.5) Combine like terms: 1t + -2.1t = -1.1t -4.2 + -1.1t = 3(t + 1.5) Reorder the terms: -4.2 + -1.1t = 3(1.5 + t) -4.2 + -1.1t = (1.5 * 3 + t * 3) -4.2 + -1.1t = (4.5 + 3t) Solving -4.2 + -1.1t = 4.5 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. -4.2 + -1.1t + -3t = 4.5 + 3t + -3t Combine like terms: -1.1t + -3t = -4.1t -4.2 + -4.1t = 4.5 + 3t + -3t Combine like terms: 3t + -3t = 0 -4.2 + -4.1t = 4.5 + 0 -4.2 + -4.1t = 4.5 Add '4.2' to each side of the equation. -4.2 + 4.2 + -4.1t = 4.5 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + -4.1t = 4.5 + 4.2 -4.1t = 4.5 + 4.2 Combine like terms: 4.5 + 4.2 = 8.7 -4.1t = 8.7 Divide each side by '-4.1'. t = -2.12195122 Simplifying t = -2.12195122
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