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Simplifying 13(t + -4) + 5 = 6(3y + 2) + -8 Reorder the terms: 13(-4 + t) + 5 = 6(3y + 2) + -8 (-4 * 13 + t * 13) + 5 = 6(3y + 2) + -8 (-52 + 13t) + 5 = 6(3y + 2) + -8 Reorder the terms: -52 + 5 + 13t = 6(3y + 2) + -8 Combine like terms: -52 + 5 = -47 -47 + 13t = 6(3y + 2) + -8 Reorder the terms: -47 + 13t = 6(2 + 3y) + -8 -47 + 13t = (2 * 6 + 3y * 6) + -8 -47 + 13t = (12 + 18y) + -8 Reorder the terms: -47 + 13t = 12 + -8 + 18y Combine like terms: 12 + -8 = 4 -47 + 13t = 4 + 18y Solving -47 + 13t = 4 + 18y Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '47' to each side of the equation. -47 + 47 + 13t = 4 + 47 + 18y Combine like terms: -47 + 47 = 0 0 + 13t = 4 + 47 + 18y 13t = 4 + 47 + 18y Combine like terms: 4 + 47 = 51 13t = 51 + 18y Divide each side by '13'. t = 3.923076923 + 1.384615385y Simplifying t = 3.923076923 + 1.384615385y
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