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Simplifying 42 + -9 = 3(t + 7) Combine like terms: 42 + -9 = 33 33 = 3(t + 7) Reorder the terms: 33 = 3(7 + t) 33 = (7 * 3 + t * 3) 33 = (21 + 3t) Solving 33 = 21 + 3t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-3t' to each side of the equation. 33 + -3t = 21 + 3t + -3t Combine like terms: 3t + -3t = 0 33 + -3t = 21 + 0 33 + -3t = 21 Add '-33' to each side of the equation. 33 + -33 + -3t = 21 + -33 Combine like terms: 33 + -33 = 0 0 + -3t = 21 + -33 -3t = 21 + -33 Combine like terms: 21 + -33 = -12 -3t = -12 Divide each side by '-3'. t = 4 Simplifying t = 4
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