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Simplifying 6(t + -1) + 4 = 9(t + -4) + -8 Reorder the terms: 6(-1 + t) + 4 = 9(t + -4) + -8 (-1 * 6 + t * 6) + 4 = 9(t + -4) + -8 (-6 + 6t) + 4 = 9(t + -4) + -8 Reorder the terms: -6 + 4 + 6t = 9(t + -4) + -8 Combine like terms: -6 + 4 = -2 -2 + 6t = 9(t + -4) + -8 Reorder the terms: -2 + 6t = 9(-4 + t) + -8 -2 + 6t = (-4 * 9 + t * 9) + -8 -2 + 6t = (-36 + 9t) + -8 Reorder the terms: -2 + 6t = -36 + -8 + 9t Combine like terms: -36 + -8 = -44 -2 + 6t = -44 + 9t Solving -2 + 6t = -44 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -2 + 6t + -9t = -44 + 9t + -9t Combine like terms: 6t + -9t = -3t -2 + -3t = -44 + 9t + -9t Combine like terms: 9t + -9t = 0 -2 + -3t = -44 + 0 -2 + -3t = -44 Add '2' to each side of the equation. -2 + 2 + -3t = -44 + 2 Combine like terms: -2 + 2 = 0 0 + -3t = -44 + 2 -3t = -44 + 2 Combine like terms: -44 + 2 = -42 -3t = -42 Divide each side by '-3'. t = 14 Simplifying t = 14
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