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Simplifying 6(t + -2) = 8(t + 4) Reorder the terms: 6(-2 + t) = 8(t + 4) (-2 * 6 + t * 6) = 8(t + 4) (-12 + 6t) = 8(t + 4) Reorder the terms: -12 + 6t = 8(4 + t) -12 + 6t = (4 * 8 + t * 8) -12 + 6t = (32 + 8t) Solving -12 + 6t = 32 + 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. -12 + 6t + -8t = 32 + 8t + -8t Combine like terms: 6t + -8t = -2t -12 + -2t = 32 + 8t + -8t Combine like terms: 8t + -8t = 0 -12 + -2t = 32 + 0 -12 + -2t = 32 Add '12' to each side of the equation. -12 + 12 + -2t = 32 + 12 Combine like terms: -12 + 12 = 0 0 + -2t = 32 + 12 -2t = 32 + 12 Combine like terms: 32 + 12 = 44 -2t = 44 Divide each side by '-2'. t = -22 Simplifying t = -22
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