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Simplifying s + -1(4s + -7) = 5s + -1(s + 21) Reorder the terms: s + -1(-7 + 4s) = 5s + -1(s + 21) s + (-7 * -1 + 4s * -1) = 5s + -1(s + 21) s + (7 + -4s) = 5s + -1(s + 21) Reorder the terms: 7 + s + -4s = 5s + -1(s + 21) Combine like terms: s + -4s = -3s 7 + -3s = 5s + -1(s + 21) Reorder the terms: 7 + -3s = 5s + -1(21 + s) 7 + -3s = 5s + (21 * -1 + s * -1) 7 + -3s = 5s + (-21 + -1s) Reorder the terms: 7 + -3s = -21 + 5s + -1s Combine like terms: 5s + -1s = 4s 7 + -3s = -21 + 4s Solving 7 + -3s = -21 + 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. 7 + -3s + -4s = -21 + 4s + -4s Combine like terms: -3s + -4s = -7s 7 + -7s = -21 + 4s + -4s Combine like terms: 4s + -4s = 0 7 + -7s = -21 + 0 7 + -7s = -21 Add '-7' to each side of the equation. 7 + -7 + -7s = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7s = -21 + -7 -7s = -21 + -7 Combine like terms: -21 + -7 = -28 -7s = -28 Divide each side by '-7'. s = 4 Simplifying s = 4
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