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Simplifying 6(t + -1) = 9 + -1(t + -4) Reorder the terms: 6(-1 + t) = 9 + -1(t + -4) (-1 * 6 + t * 6) = 9 + -1(t + -4) (-6 + 6t) = 9 + -1(t + -4) Reorder the terms: -6 + 6t = 9 + -1(-4 + t) -6 + 6t = 9 + (-4 * -1 + t * -1) -6 + 6t = 9 + (4 + -1t) Combine like terms: 9 + 4 = 13 -6 + 6t = 13 + -1t Solving -6 + 6t = 13 + -1t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add 't' to each side of the equation. -6 + 6t + t = 13 + -1t + t Combine like terms: 6t + t = 7t -6 + 7t = 13 + -1t + t Combine like terms: -1t + t = 0 -6 + 7t = 13 + 0 -6 + 7t = 13 Add '6' to each side of the equation. -6 + 6 + 7t = 13 + 6 Combine like terms: -6 + 6 = 0 0 + 7t = 13 + 6 7t = 13 + 6 Combine like terms: 13 + 6 = 19 7t = 19 Divide each side by '7'. t = 2.714285714 Simplifying t = 2.714285714
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