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Simplifying -8(t + 9) + -5(-3t + -2) = 6(t + -9) + 5 Reorder the terms: -8(9 + t) + -5(-3t + -2) = 6(t + -9) + 5 (9 * -8 + t * -8) + -5(-3t + -2) = 6(t + -9) + 5 (-72 + -8t) + -5(-3t + -2) = 6(t + -9) + 5 Reorder the terms: -72 + -8t + -5(-2 + -3t) = 6(t + -9) + 5 -72 + -8t + (-2 * -5 + -3t * -5) = 6(t + -9) + 5 -72 + -8t + (10 + 15t) = 6(t + -9) + 5 Reorder the terms: -72 + 10 + -8t + 15t = 6(t + -9) + 5 Combine like terms: -72 + 10 = -62 -62 + -8t + 15t = 6(t + -9) + 5 Combine like terms: -8t + 15t = 7t -62 + 7t = 6(t + -9) + 5 Reorder the terms: -62 + 7t = 6(-9 + t) + 5 -62 + 7t = (-9 * 6 + t * 6) + 5 -62 + 7t = (-54 + 6t) + 5 Reorder the terms: -62 + 7t = -54 + 5 + 6t Combine like terms: -54 + 5 = -49 -62 + 7t = -49 + 6t Solving -62 + 7t = -49 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -62 + 7t + -6t = -49 + 6t + -6t Combine like terms: 7t + -6t = 1t -62 + 1t = -49 + 6t + -6t Combine like terms: 6t + -6t = 0 -62 + 1t = -49 + 0 -62 + 1t = -49 Add '62' to each side of the equation. -62 + 62 + 1t = -49 + 62 Combine like terms: -62 + 62 = 0 0 + 1t = -49 + 62 1t = -49 + 62 Combine like terms: -49 + 62 = 13 1t = 13 Divide each side by '1'. t = 13 Simplifying t = 13
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