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Simplifying 8(t + -1) = 9(t + -4) Reorder the terms: 8(-1 + t) = 9(t + -4) (-1 * 8 + t * 8) = 9(t + -4) (-8 + 8t) = 9(t + -4) Reorder the terms: -8 + 8t = 9(-4 + t) -8 + 8t = (-4 * 9 + t * 9) -8 + 8t = (-36 + 9t) Solving -8 + 8t = -36 + 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. -8 + 8t + -9t = -36 + 9t + -9t Combine like terms: 8t + -9t = -1t -8 + -1t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + -1t = -36 + 0 -8 + -1t = -36 Add '8' to each side of the equation. -8 + 8 + -1t = -36 + 8 Combine like terms: -8 + 8 = 0 0 + -1t = -36 + 8 -1t = -36 + 8 Combine like terms: -36 + 8 = -28 -1t = -28 Divide each side by '-1'. t = 28 Simplifying t = 28
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