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Simplifying 2(4t + -6) = 19t + 7 Reorder the terms: 2(-6 + 4t) = 19t + 7 (-6 * 2 + 4t * 2) = 19t + 7 (-12 + 8t) = 19t + 7 Reorder the terms: -12 + 8t = 7 + 19t Solving -12 + 8t = 7 + 19t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-19t' to each side of the equation. -12 + 8t + -19t = 7 + 19t + -19t Combine like terms: 8t + -19t = -11t -12 + -11t = 7 + 19t + -19t Combine like terms: 19t + -19t = 0 -12 + -11t = 7 + 0 -12 + -11t = 7 Add '12' to each side of the equation. -12 + 12 + -11t = 7 + 12 Combine like terms: -12 + 12 = 0 0 + -11t = 7 + 12 -11t = 7 + 12 Combine like terms: 7 + 12 = 19 -11t = 19 Divide each side by '-11'. t = -1.727272727 Simplifying t = -1.727272727
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