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Simplifying 6(t + -2) = 9(t + -4) Reorder the terms: 6(-2 + t) = 9(t + -4) (-2 * 6 + t * 6) = 9(t + -4) (-12 + 6t) = 9(t + -4) Reorder the terms: -12 + 6t = 9(-4 + t) -12 + 6t = (-4 * 9 + t * 9) -12 + 6t = (-36 + 9t) Solving -12 + 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. -12 + 6t + -9t = -36 + 9t + -9t Combine like terms: 6t + -9t = -3t -12 + -3t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 -12 + -3t = -36 + 0 -12 + -3t = -36 Add '12' to each side of the equation. -12 + 12 + -3t = -36 + 12 Combine like terms: -12 + 12 = 0 0 + -3t = -36 + 12 -3t = -36 + 12 Combine like terms: -36 + 12 = -24 -3t = -24 Divide each side by '-3'. t = 8 Simplifying t = 8
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