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Simplifying -4(6s + 7) + 7(3s + 3) = s + -1(8s + 31) Reorder the terms: -4(7 + 6s) + 7(3s + 3) = s + -1(8s + 31) (7 * -4 + 6s * -4) + 7(3s + 3) = s + -1(8s + 31) (-28 + -24s) + 7(3s + 3) = s + -1(8s + 31) Reorder the terms: -28 + -24s + 7(3 + 3s) = s + -1(8s + 31) -28 + -24s + (3 * 7 + 3s * 7) = s + -1(8s + 31) -28 + -24s + (21 + 21s) = s + -1(8s + 31) Reorder the terms: -28 + 21 + -24s + 21s = s + -1(8s + 31) Combine like terms: -28 + 21 = -7 -7 + -24s + 21s = s + -1(8s + 31) Combine like terms: -24s + 21s = -3s -7 + -3s = s + -1(8s + 31) Reorder the terms: -7 + -3s = s + -1(31 + 8s) -7 + -3s = s + (31 * -1 + 8s * -1) -7 + -3s = s + (-31 + -8s) Reorder the terms: -7 + -3s = -31 + s + -8s Combine like terms: s + -8s = -7s -7 + -3s = -31 + -7s Solving -7 + -3s = -31 + -7s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '7s' to each side of the equation. -7 + -3s + 7s = -31 + -7s + 7s Combine like terms: -3s + 7s = 4s -7 + 4s = -31 + -7s + 7s Combine like terms: -7s + 7s = 0 -7 + 4s = -31 + 0 -7 + 4s = -31 Add '7' to each side of the equation. -7 + 7 + 4s = -31 + 7 Combine like terms: -7 + 7 = 0 0 + 4s = -31 + 7 4s = -31 + 7 Combine like terms: -31 + 7 = -24 4s = -24 Divide each side by '4'. s = -6 Simplifying s = -6
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