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Simplifying 4(t + -4) + 8t = 6(t + 3) + -13 Reorder the terms: 4(-4 + t) + 8t = 6(t + 3) + -13 (-4 * 4 + t * 4) + 8t = 6(t + 3) + -13 (-16 + 4t) + 8t = 6(t + 3) + -13 Combine like terms: 4t + 8t = 12t -16 + 12t = 6(t + 3) + -13 Reorder the terms: -16 + 12t = 6(3 + t) + -13 -16 + 12t = (3 * 6 + t * 6) + -13 -16 + 12t = (18 + 6t) + -13 Reorder the terms: -16 + 12t = 18 + -13 + 6t Combine like terms: 18 + -13 = 5 -16 + 12t = 5 + 6t Solving -16 + 12t = 5 + 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. -16 + 12t + -6t = 5 + 6t + -6t Combine like terms: 12t + -6t = 6t -16 + 6t = 5 + 6t + -6t Combine like terms: 6t + -6t = 0 -16 + 6t = 5 + 0 -16 + 6t = 5 Add '16' to each side of the equation. -16 + 16 + 6t = 5 + 16 Combine like terms: -16 + 16 = 0 0 + 6t = 5 + 16 6t = 5 + 16 Combine like terms: 5 + 16 = 21 6t = 21 Divide each side by '6'. t = 3.5 Simplifying t = 3.5
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