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Simplifying 4(t + -4) + 30t = 9(t + 1) Reorder the terms: 4(-4 + t) + 30t = 9(t + 1) (-4 * 4 + t * 4) + 30t = 9(t + 1) (-16 + 4t) + 30t = 9(t + 1) Combine like terms: 4t + 30t = 34t -16 + 34t = 9(t + 1) Reorder the terms: -16 + 34t = 9(1 + t) -16 + 34t = (1 * 9 + t * 9) -16 + 34t = (9 + 9t) Solving -16 + 34t = 9 + 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. -16 + 34t + -9t = 9 + 9t + -9t Combine like terms: 34t + -9t = 25t -16 + 25t = 9 + 9t + -9t Combine like terms: 9t + -9t = 0 -16 + 25t = 9 + 0 -16 + 25t = 9 Add '16' to each side of the equation. -16 + 16 + 25t = 9 + 16 Combine like terms: -16 + 16 = 0 0 + 25t = 9 + 16 25t = 9 + 16 Combine like terms: 9 + 16 = 25 25t = 25 Divide each side by '25'. t = 1 Simplifying t = 1
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