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Simplifying 4(t + -9) = (t + 7) Reorder the terms: 4(-9 + t) = (t + 7) (-9 * 4 + t * 4) = (t + 7) (-36 + 4t) = (t + 7) Reorder the terms: -36 + 4t = (7 + t) Remove parenthesis around (7 + t) -36 + 4t = 7 + t Solving -36 + 4t = 7 + t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-1t' to each side of the equation. -36 + 4t + -1t = 7 + t + -1t Combine like terms: 4t + -1t = 3t -36 + 3t = 7 + t + -1t Combine like terms: t + -1t = 0 -36 + 3t = 7 + 0 -36 + 3t = 7 Add '36' to each side of the equation. -36 + 36 + 3t = 7 + 36 Combine like terms: -36 + 36 = 0 0 + 3t = 7 + 36 3t = 7 + 36 Combine like terms: 7 + 36 = 43 3t = 43 Divide each side by '3'. t = 14.33333333 Simplifying t = 14.33333333
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