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Simplifying -2(t + -6) + 12 = 12 + -1(t + 4) Reorder the terms: -2(-6 + t) + 12 = 12 + -1(t + 4) (-6 * -2 + t * -2) + 12 = 12 + -1(t + 4) (12 + -2t) + 12 = 12 + -1(t + 4) Reorder the terms: 12 + 12 + -2t = 12 + -1(t + 4) Combine like terms: 12 + 12 = 24 24 + -2t = 12 + -1(t + 4) Reorder the terms: 24 + -2t = 12 + -1(4 + t) 24 + -2t = 12 + (4 * -1 + t * -1) 24 + -2t = 12 + (-4 + -1t) Combine like terms: 12 + -4 = 8 24 + -2t = 8 + -1t Solving 24 + -2t = 8 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. 24 + -2t + t = 8 + -1t + t Combine like terms: -2t + t = -1t 24 + -1t = 8 + -1t + t Combine like terms: -1t + t = 0 24 + -1t = 8 + 0 24 + -1t = 8 Add '-24' to each side of the equation. 24 + -24 + -1t = 8 + -24 Combine like terms: 24 + -24 = 0 0 + -1t = 8 + -24 -1t = 8 + -24 Combine like terms: 8 + -24 = -16 -1t = -16 Divide each side by '-1'. t = 16 Simplifying t = 16
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