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Simplifying 4(t + -9) = 6(t + -7) Reorder the terms: 4(-9 + t) = 6(t + -7) (-9 * 4 + t * 4) = 6(t + -7) (-36 + 4t) = 6(t + -7) Reorder the terms: -36 + 4t = 6(-7 + t) -36 + 4t = (-7 * 6 + t * 6) -36 + 4t = (-42 + 6t) Solving -36 + 4t = -42 + 6t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-6t' to each side of the equation. -36 + 4t + -6t = -42 + 6t + -6t Combine like terms: 4t + -6t = -2t -36 + -2t = -42 + 6t + -6t Combine like terms: 6t + -6t = 0 -36 + -2t = -42 + 0 -36 + -2t = -42 Add '36' to each side of the equation. -36 + 36 + -2t = -42 + 36 Combine like terms: -36 + 36 = 0 0 + -2t = -42 + 36 -2t = -42 + 36 Combine like terms: -42 + 36 = -6 -2t = -6 Divide each side by '-2'. t = 3 Simplifying t = 3
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