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Simplifying t + 8 + t + 58 = 2(2t + -3) Reorder the terms: 8 + 58 + t + t = 2(2t + -3) Combine like terms: 8 + 58 = 66 66 + t + t = 2(2t + -3) Combine like terms: t + t = 2t 66 + 2t = 2(2t + -3) Reorder the terms: 66 + 2t = 2(-3 + 2t) 66 + 2t = (-3 * 2 + 2t * 2) 66 + 2t = (-6 + 4t) Solving 66 + 2t = -6 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 66 + 2t + -4t = -6 + 4t + -4t Combine like terms: 2t + -4t = -2t 66 + -2t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 66 + -2t = -6 + 0 66 + -2t = -6 Add '-66' to each side of the equation. 66 + -66 + -2t = -6 + -66 Combine like terms: 66 + -66 = 0 0 + -2t = -6 + -66 -2t = -6 + -66 Combine like terms: -6 + -66 = -72 -2t = -72 Divide each side by '-2'. t = 36 Simplifying t = 36
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