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Simplifying 6(t + -5) = 7(2t + 1) Reorder the terms: 6(-5 + t) = 7(2t + 1) (-5 * 6 + t * 6) = 7(2t + 1) (-30 + 6t) = 7(2t + 1) Reorder the terms: -30 + 6t = 7(1 + 2t) -30 + 6t = (1 * 7 + 2t * 7) -30 + 6t = (7 + 14t) Solving -30 + 6t = 7 + 14t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-14t' to each side of the equation. -30 + 6t + -14t = 7 + 14t + -14t Combine like terms: 6t + -14t = -8t -30 + -8t = 7 + 14t + -14t Combine like terms: 14t + -14t = 0 -30 + -8t = 7 + 0 -30 + -8t = 7 Add '30' to each side of the equation. -30 + 30 + -8t = 7 + 30 Combine like terms: -30 + 30 = 0 0 + -8t = 7 + 30 -8t = 7 + 30 Combine like terms: 7 + 30 = 37 -8t = 37 Divide each side by '-8'. t = -4.625 Simplifying t = -4.625
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