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Simplifying 6(1t + -1) = 9(1t + -4) Reorder the terms: 6(-1 + 1t) = 9(1t + -4) (-1 * 6 + 1t * 6) = 9(1t + -4) (-6 + 6t) = 9(1t + -4) Reorder the terms: -6 + 6t = 9(-4 + 1t) -6 + 6t = (-4 * 9 + 1t * 9) -6 + 6t = (-36 + 9t) Solving -6 + 6t = -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. -6 + 6t + -9t = -36 + 9t + -9t Combine like terms: 6t + -9t = -3t -6 + -3t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 -6 + -3t = -36 + 0 -6 + -3t = -36 Add '6' to each side of the equation. -6 + 6 + -3t = -36 + 6 Combine like terms: -6 + 6 = 0 0 + -3t = -36 + 6 -3t = -36 + 6 Combine like terms: -36 + 6 = -30 -3t = -30 Divide each side by '-3'. t = 10 Simplifying t = 10
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