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Simplifying 10(t + 7) = 36(t + -6) Reorder the terms: 10(7 + t) = 36(t + -6) (7 * 10 + t * 10) = 36(t + -6) (70 + 10t) = 36(t + -6) Reorder the terms: 70 + 10t = 36(-6 + t) 70 + 10t = (-6 * 36 + t * 36) 70 + 10t = (-216 + 36t) Solving 70 + 10t = -216 + 36t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-36t' to each side of the equation. 70 + 10t + -36t = -216 + 36t + -36t Combine like terms: 10t + -36t = -26t 70 + -26t = -216 + 36t + -36t Combine like terms: 36t + -36t = 0 70 + -26t = -216 + 0 70 + -26t = -216 Add '-70' to each side of the equation. 70 + -70 + -26t = -216 + -70 Combine like terms: 70 + -70 = 0 0 + -26t = -216 + -70 -26t = -216 + -70 Combine like terms: -216 + -70 = -286 -26t = -286 Divide each side by '-26'. t = 11 Simplifying t = 11
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