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Simplifying 4(t + -9) = 6(t + 8) Reorder the terms: 4(-9 + t) = 6(t + 8) (-9 * 4 + t * 4) = 6(t + 8) (-36 + 4t) = 6(t + 8) Reorder the terms: -36 + 4t = 6(8 + t) -36 + 4t = (8 * 6 + t * 6) -36 + 4t = (48 + 6t) Solving -36 + 4t = 48 + 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 = 48 + 6t + -6t Combine like terms: 4t + -6t = -2t -36 + -2t = 48 + 6t + -6t Combine like terms: 6t + -6t = 0 -36 + -2t = 48 + 0 -36 + -2t = 48 Add '36' to each side of the equation. -36 + 36 + -2t = 48 + 36 Combine like terms: -36 + 36 = 0 0 + -2t = 48 + 36 -2t = 48 + 36 Combine like terms: 48 + 36 = 84 -2t = 84 Divide each side by '-2'. t = -42 Simplifying t = -42
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