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Simplifying 6(t + -7) = 9(t + -4) Reorder the terms: 6(-7 + t) = 9(t + -4) (-7 * 6 + t * 6) = 9(t + -4) (-42 + 6t) = 9(t + -4) Reorder the terms: -42 + 6t = 9(-4 + t) -42 + 6t = (-4 * 9 + t * 9) -42 + 6t = (-36 + 9t) Solving -42 + 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. -42 + 6t + -9t = -36 + 9t + -9t Combine like terms: 6t + -9t = -3t -42 + -3t = -36 + 9t + -9t Combine like terms: 9t + -9t = 0 -42 + -3t = -36 + 0 -42 + -3t = -36 Add '42' to each side of the equation. -42 + 42 + -3t = -36 + 42 Combine like terms: -42 + 42 = 0 0 + -3t = -36 + 42 -3t = -36 + 42 Combine like terms: -36 + 42 = 6 -3t = 6 Divide each side by '-3'. t = -2 Simplifying t = -2
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