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Simplifying 13(t + -2) + 5 = 6(3t + -5) + -10 Reorder the terms: 13(-2 + t) + 5 = 6(3t + -5) + -10 (-2 * 13 + t * 13) + 5 = 6(3t + -5) + -10 (-26 + 13t) + 5 = 6(3t + -5) + -10 Reorder the terms: -26 + 5 + 13t = 6(3t + -5) + -10 Combine like terms: -26 + 5 = -21 -21 + 13t = 6(3t + -5) + -10 Reorder the terms: -21 + 13t = 6(-5 + 3t) + -10 -21 + 13t = (-5 * 6 + 3t * 6) + -10 -21 + 13t = (-30 + 18t) + -10 Reorder the terms: -21 + 13t = -30 + -10 + 18t Combine like terms: -30 + -10 = -40 -21 + 13t = -40 + 18t Solving -21 + 13t = -40 + 18t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-18t' to each side of the equation. -21 + 13t + -18t = -40 + 18t + -18t Combine like terms: 13t + -18t = -5t -21 + -5t = -40 + 18t + -18t Combine like terms: 18t + -18t = 0 -21 + -5t = -40 + 0 -21 + -5t = -40 Add '21' to each side of the equation. -21 + 21 + -5t = -40 + 21 Combine like terms: -21 + 21 = 0 0 + -5t = -40 + 21 -5t = -40 + 21 Combine like terms: -40 + 21 = -19 -5t = -19 Divide each side by '-5'. t = 3.8 Simplifying t = 3.8
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