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Simplifying 4(s + -7) = 7(3s + 2) + 9 Reorder the terms: 4(-7 + s) = 7(3s + 2) + 9 (-7 * 4 + s * 4) = 7(3s + 2) + 9 (-28 + 4s) = 7(3s + 2) + 9 Reorder the terms: -28 + 4s = 7(2 + 3s) + 9 -28 + 4s = (2 * 7 + 3s * 7) + 9 -28 + 4s = (14 + 21s) + 9 Reorder the terms: -28 + 4s = 14 + 9 + 21s Combine like terms: 14 + 9 = 23 -28 + 4s = 23 + 21s Solving -28 + 4s = 23 + 21s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-21s' to each side of the equation. -28 + 4s + -21s = 23 + 21s + -21s Combine like terms: 4s + -21s = -17s -28 + -17s = 23 + 21s + -21s Combine like terms: 21s + -21s = 0 -28 + -17s = 23 + 0 -28 + -17s = 23 Add '28' to each side of the equation. -28 + 28 + -17s = 23 + 28 Combine like terms: -28 + 28 = 0 0 + -17s = 23 + 28 -17s = 23 + 28 Combine like terms: 23 + 28 = 51 -17s = 51 Divide each side by '-17'. s = -3 Simplifying s = -3
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