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Simplifying 2(t + -8) = 4(2t + -6) Reorder the terms: 2(-8 + t) = 4(2t + -6) (-8 * 2 + t * 2) = 4(2t + -6) (-16 + 2t) = 4(2t + -6) Reorder the terms: -16 + 2t = 4(-6 + 2t) -16 + 2t = (-6 * 4 + 2t * 4) -16 + 2t = (-24 + 8t) Solving -16 + 2t = -24 + 8t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-8t' to each side of the equation. -16 + 2t + -8t = -24 + 8t + -8t Combine like terms: 2t + -8t = -6t -16 + -6t = -24 + 8t + -8t Combine like terms: 8t + -8t = 0 -16 + -6t = -24 + 0 -16 + -6t = -24 Add '16' to each side of the equation. -16 + 16 + -6t = -24 + 16 Combine like terms: -16 + 16 = 0 0 + -6t = -24 + 16 -6t = -24 + 16 Combine like terms: -24 + 16 = -8 -6t = -8 Divide each side by '-6'. t = 1.333333333 Simplifying t = 1.333333333
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