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Simplifying 9(t + -4) + -2t = (t + -2) Reorder the terms: 9(-4 + t) + -2t = (t + -2) (-4 * 9 + t * 9) + -2t = (t + -2) (-36 + 9t) + -2t = (t + -2) Combine like terms: 9t + -2t = 7t -36 + 7t = (t + -2) Reorder the terms: -36 + 7t = (-2 + t) Remove parenthesis around (-2 + t) -36 + 7t = -2 + t Solving -36 + 7t = -2 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -36 + 7t + -1t = -2 + t + -1t Combine like terms: 7t + -1t = 6t -36 + 6t = -2 + t + -1t Combine like terms: t + -1t = 0 -36 + 6t = -2 + 0 -36 + 6t = -2 Add '36' to each side of the equation. -36 + 36 + 6t = -2 + 36 Combine like terms: -36 + 36 = 0 0 + 6t = -2 + 36 6t = -2 + 36 Combine like terms: -2 + 36 = 34 6t = 34 Divide each side by '6'. t = 5.666666667 Simplifying t = 5.666666667
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