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Simplifying 3[s + 22] = 4[s + 12] Reorder the terms: 3[22 + s] = 4[s + 12] [22 * 3 + s * 3] = 4[s + 12] [66 + 3s] = 4[s + 12] Reorder the terms: 66 + 3s = 4[12 + s] 66 + 3s = [12 * 4 + s * 4] 66 + 3s = [48 + 4s] Solving 66 + 3s = 48 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. 66 + 3s + -4s = 48 + 4s + -4s Combine like terms: 3s + -4s = -1s 66 + -1s = 48 + 4s + -4s Combine like terms: 4s + -4s = 0 66 + -1s = 48 + 0 66 + -1s = 48 Add '-66' to each side of the equation. 66 + -66 + -1s = 48 + -66 Combine like terms: 66 + -66 = 0 0 + -1s = 48 + -66 -1s = 48 + -66 Combine like terms: 48 + -66 = -18 -1s = -18 Divide each side by '-1'. s = 18 Simplifying s = 18
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