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Simplifying 4(t + -2) + 49t = 9(t + 4) Reorder the terms: 4(-2 + t) + 49t = 9(t + 4) (-2 * 4 + t * 4) + 49t = 9(t + 4) (-8 + 4t) + 49t = 9(t + 4) Combine like terms: 4t + 49t = 53t -8 + 53t = 9(t + 4) Reorder the terms: -8 + 53t = 9(4 + t) -8 + 53t = (4 * 9 + t * 9) -8 + 53t = (36 + 9t) Solving -8 + 53t = 36 + 9t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-9t' to each side of the equation. -8 + 53t + -9t = 36 + 9t + -9t Combine like terms: 53t + -9t = 44t -8 + 44t = 36 + 9t + -9t Combine like terms: 9t + -9t = 0 -8 + 44t = 36 + 0 -8 + 44t = 36 Add '8' to each side of the equation. -8 + 8 + 44t = 36 + 8 Combine like terms: -8 + 8 = 0 0 + 44t = 36 + 8 44t = 36 + 8 Combine like terms: 36 + 8 = 44 44t = 44 Divide each side by '44'. t = 1 Simplifying t = 1
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