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Simplifying 4(2t + -3) + 5t = 4t + -6 Reorder the terms: 4(-3 + 2t) + 5t = 4t + -6 (-3 * 4 + 2t * 4) + 5t = 4t + -6 (-12 + 8t) + 5t = 4t + -6 Combine like terms: 8t + 5t = 13t -12 + 13t = 4t + -6 Reorder the terms: -12 + 13t = -6 + 4t Solving -12 + 13t = -6 + 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. -12 + 13t + -4t = -6 + 4t + -4t Combine like terms: 13t + -4t = 9t -12 + 9t = -6 + 4t + -4t Combine like terms: 4t + -4t = 0 -12 + 9t = -6 + 0 -12 + 9t = -6 Add '12' to each side of the equation. -12 + 12 + 9t = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 9t = -6 + 12 9t = -6 + 12 Combine like terms: -6 + 12 = 6 9t = 6 Divide each side by '9'. t = 0.6666666667 Simplifying t = 0.6666666667
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