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