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Simplifying 8 + -9(t + -6) = 4 + t Reorder the terms: 8 + -9(-6 + t) = 4 + t 8 + (-6 * -9 + t * -9) = 4 + t 8 + (54 + -9t) = 4 + t Combine like terms: 8 + 54 = 62 62 + -9t = 4 + t Solving 62 + -9t = 4 + 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. 62 + -9t + -1t = 4 + t + -1t Combine like terms: -9t + -1t = -10t 62 + -10t = 4 + t + -1t Combine like terms: t + -1t = 0 62 + -10t = 4 + 0 62 + -10t = 4 Add '-62' to each side of the equation. 62 + -62 + -10t = 4 + -62 Combine like terms: 62 + -62 = 0 0 + -10t = 4 + -62 -10t = 4 + -62 Combine like terms: 4 + -62 = -58 -10t = -58 Divide each side by '-10'. t = 5.8 Simplifying t = 5.8
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