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Simplifying 9 = 2(t + -4) + 1 Reorder the terms: 9 = 2(-4 + t) + 1 9 = (-4 * 2 + t * 2) + 1 9 = (-8 + 2t) + 1 Reorder the terms: 9 = -8 + 1 + 2t Combine like terms: -8 + 1 = -7 9 = -7 + 2t Solving 9 = -7 + 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. 9 + -2t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 9 + -2t = -7 + 0 9 + -2t = -7 Add '-9' to each side of the equation. 9 + -9 + -2t = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -2t = -7 + -9 -2t = -7 + -9 Combine like terms: -7 + -9 = -16 -2t = -16 Divide each side by '-2'. t = 8 Simplifying t = 8
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