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Simplifying 14 + -1(9t + -2) = t + 30 Reorder the terms: 14 + -1(-2 + 9t) = t + 30 14 + (-2 * -1 + 9t * -1) = t + 30 14 + (2 + -9t) = t + 30 Combine like terms: 14 + 2 = 16 16 + -9t = t + 30 Reorder the terms: 16 + -9t = 30 + t Solving 16 + -9t = 30 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. 16 + -9t + -1t = 30 + t + -1t Combine like terms: -9t + -1t = -10t 16 + -10t = 30 + t + -1t Combine like terms: t + -1t = 0 16 + -10t = 30 + 0 16 + -10t = 30 Add '-16' to each side of the equation. 16 + -16 + -10t = 30 + -16 Combine like terms: 16 + -16 = 0 0 + -10t = 30 + -16 -10t = 30 + -16 Combine like terms: 30 + -16 = 14 -10t = 14 Divide each side by '-10'. t = -1.4 Simplifying t = -1.4
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