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Simplifying 8(3 + -1t) + 4 = 2(t + -6) (3 * 8 + -1t * 8) + 4 = 2(t + -6) (24 + -8t) + 4 = 2(t + -6) Reorder the terms: 24 + 4 + -8t = 2(t + -6) Combine like terms: 24 + 4 = 28 28 + -8t = 2(t + -6) Reorder the terms: 28 + -8t = 2(-6 + t) 28 + -8t = (-6 * 2 + t * 2) 28 + -8t = (-12 + 2t) Solving 28 + -8t = -12 + 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. 28 + -8t + -2t = -12 + 2t + -2t Combine like terms: -8t + -2t = -10t 28 + -10t = -12 + 2t + -2t Combine like terms: 2t + -2t = 0 28 + -10t = -12 + 0 28 + -10t = -12 Add '-28' to each side of the equation. 28 + -28 + -10t = -12 + -28 Combine like terms: 28 + -28 = 0 0 + -10t = -12 + -28 -10t = -12 + -28 Combine like terms: -12 + -28 = -40 -10t = -40 Divide each side by '-10'. t = 4 Simplifying t = 4
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