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Simplifying 8(t + -2) + 6 = 2(t + 1) Reorder the terms: 8(-2 + t) + 6 = 2(t + 1) (-2 * 8 + t * 8) + 6 = 2(t + 1) (-16 + 8t) + 6 = 2(t + 1) Reorder the terms: -16 + 6 + 8t = 2(t + 1) Combine like terms: -16 + 6 = -10 -10 + 8t = 2(t + 1) Reorder the terms: -10 + 8t = 2(1 + t) -10 + 8t = (1 * 2 + t * 2) -10 + 8t = (2 + 2t) Solving -10 + 8t = 2 + 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. -10 + 8t + -2t = 2 + 2t + -2t Combine like terms: 8t + -2t = 6t -10 + 6t = 2 + 2t + -2t Combine like terms: 2t + -2t = 0 -10 + 6t = 2 + 0 -10 + 6t = 2 Add '10' to each side of the equation. -10 + 10 + 6t = 2 + 10 Combine like terms: -10 + 10 = 0 0 + 6t = 2 + 10 6t = 2 + 10 Combine like terms: 2 + 10 = 12 6t = 12 Divide each side by '6'. t = 2 Simplifying t = 2
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