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Simplifying 5 + (t + 3) = -1 + 2(t + -3) Reorder the terms: 5 + (3 + t) = -1 + 2(t + -3) Remove parenthesis around (3 + t) 5 + 3 + t = -1 + 2(t + -3) Combine like terms: 5 + 3 = 8 8 + t = -1 + 2(t + -3) Reorder the terms: 8 + t = -1 + 2(-3 + t) 8 + t = -1 + (-3 * 2 + t * 2) 8 + t = -1 + (-6 + 2t) Combine like terms: -1 + -6 = -7 8 + t = -7 + 2t Solving 8 + t = -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. 8 + t + -2t = -7 + 2t + -2t Combine like terms: t + -2t = -1t 8 + -1t = -7 + 2t + -2t Combine like terms: 2t + -2t = 0 8 + -1t = -7 + 0 8 + -1t = -7 Add '-8' to each side of the equation. 8 + -8 + -1t = -7 + -8 Combine like terms: 8 + -8 = 0 0 + -1t = -7 + -8 -1t = -7 + -8 Combine like terms: -7 + -8 = -15 -1t = -15 Divide each side by '-1'. t = 15 Simplifying t = 15
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