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Simplifying 2(t + -3) + -3(5t + -6) = 15 + -6(6t + 1) Reorder the terms: 2(-3 + t) + -3(5t + -6) = 15 + -6(6t + 1) (-3 * 2 + t * 2) + -3(5t + -6) = 15 + -6(6t + 1) (-6 + 2t) + -3(5t + -6) = 15 + -6(6t + 1) Reorder the terms: -6 + 2t + -3(-6 + 5t) = 15 + -6(6t + 1) -6 + 2t + (-6 * -3 + 5t * -3) = 15 + -6(6t + 1) -6 + 2t + (18 + -15t) = 15 + -6(6t + 1) Reorder the terms: -6 + 18 + 2t + -15t = 15 + -6(6t + 1) Combine like terms: -6 + 18 = 12 12 + 2t + -15t = 15 + -6(6t + 1) Combine like terms: 2t + -15t = -13t 12 + -13t = 15 + -6(6t + 1) Reorder the terms: 12 + -13t = 15 + -6(1 + 6t) 12 + -13t = 15 + (1 * -6 + 6t * -6) 12 + -13t = 15 + (-6 + -36t) Combine like terms: 15 + -6 = 9 12 + -13t = 9 + -36t Solving 12 + -13t = 9 + -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. 12 + -13t + 36t = 9 + -36t + 36t Combine like terms: -13t + 36t = 23t 12 + 23t = 9 + -36t + 36t Combine like terms: -36t + 36t = 0 12 + 23t = 9 + 0 12 + 23t = 9 Add '-12' to each side of the equation. 12 + -12 + 23t = 9 + -12 Combine like terms: 12 + -12 = 0 0 + 23t = 9 + -12 23t = 9 + -12 Combine like terms: 9 + -12 = -3 23t = -3 Divide each side by '23'. t = -0.1304347826 Simplifying t = -0.1304347826
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