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Simplifying 6(t + -5) = 4(t + -3) Reorder the terms: 6(-5 + t) = 4(t + -3) (-5 * 6 + t * 6) = 4(t + -3) (-30 + 6t) = 4(t + -3) Reorder the terms: -30 + 6t = 4(-3 + t) -30 + 6t = (-3 * 4 + t * 4) -30 + 6t = (-12 + 4t) Solving -30 + 6t = -12 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. -30 + 6t + -4t = -12 + 4t + -4t Combine like terms: 6t + -4t = 2t -30 + 2t = -12 + 4t + -4t Combine like terms: 4t + -4t = 0 -30 + 2t = -12 + 0 -30 + 2t = -12 Add '30' to each side of the equation. -30 + 30 + 2t = -12 + 30 Combine like terms: -30 + 30 = 0 0 + 2t = -12 + 30 2t = -12 + 30 Combine like terms: -12 + 30 = 18 2t = 18 Divide each side by '2'. t = 9 Simplifying t = 9
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