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Simplifying 2(t + -7) = -5(6 + -1t) Reorder the terms: 2(-7 + t) = -5(6 + -1t) (-7 * 2 + t * 2) = -5(6 + -1t) (-14 + 2t) = -5(6 + -1t) -14 + 2t = (6 * -5 + -1t * -5) -14 + 2t = (-30 + 5t) Solving -14 + 2t = -30 + 5t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-5t' to each side of the equation. -14 + 2t + -5t = -30 + 5t + -5t Combine like terms: 2t + -5t = -3t -14 + -3t = -30 + 5t + -5t Combine like terms: 5t + -5t = 0 -14 + -3t = -30 + 0 -14 + -3t = -30 Add '14' to each side of the equation. -14 + 14 + -3t = -30 + 14 Combine like terms: -14 + 14 = 0 0 + -3t = -30 + 14 -3t = -30 + 14 Combine like terms: -30 + 14 = -16 -3t = -16 Divide each side by '-3'. t = 5.333333333 Simplifying t = 5.333333333
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