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Simplifying 3(t + 22) = 4(t + 12) Reorder the terms: 3(22 + t) = 4(t + 12) (22 * 3 + t * 3) = 4(t + 12) (66 + 3t) = 4(t + 12) Reorder the terms: 66 + 3t = 4(12 + t) 66 + 3t = (12 * 4 + t * 4) 66 + 3t = (48 + 4t) Solving 66 + 3t = 48 + 4t Solving for variable 't'. Move all terms containing t to the left, all other terms to the right. Add '-4t' to each side of the equation. 66 + 3t + -4t = 48 + 4t + -4t Combine like terms: 3t + -4t = -1t 66 + -1t = 48 + 4t + -4t Combine like terms: 4t + -4t = 0 66 + -1t = 48 + 0 66 + -1t = 48 Add '-66' to each side of the equation. 66 + -66 + -1t = 48 + -66 Combine like terms: 66 + -66 = 0 0 + -1t = 48 + -66 -1t = 48 + -66 Combine like terms: 48 + -66 = -18 -1t = -18 Divide each side by '-1'. t = 18 Simplifying t = 18
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