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Simplifying 2 + 8(t + -9) = 2(t + 4) + 6 Reorder the terms: 2 + 8(-9 + t) = 2(t + 4) + 6 2 + (-9 * 8 + t * 8) = 2(t + 4) + 6 2 + (-72 + 8t) = 2(t + 4) + 6 Combine like terms: 2 + -72 = -70 -70 + 8t = 2(t + 4) + 6 Reorder the terms: -70 + 8t = 2(4 + t) + 6 -70 + 8t = (4 * 2 + t * 2) + 6 -70 + 8t = (8 + 2t) + 6 Reorder the terms: -70 + 8t = 8 + 6 + 2t Combine like terms: 8 + 6 = 14 -70 + 8t = 14 + 2t Solving -70 + 8t = 14 + 2t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-2t' to each side of the equation. -70 + 8t + -2t = 14 + 2t + -2t Combine like terms: 8t + -2t = 6t -70 + 6t = 14 + 2t + -2t Combine like terms: 2t + -2t = 0 -70 + 6t = 14 + 0 -70 + 6t = 14 Add '70' to each side of the equation. -70 + 70 + 6t = 14 + 70 Combine like terms: -70 + 70 = 0 0 + 6t = 14 + 70 6t = 14 + 70 Combine like terms: 14 + 70 = 84 6t = 84 Divide each side by '6'. t = 14 Simplifying t = 14
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