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Simplifying 6(s + -7) = 3(4s + 4) Reorder the terms: 6(-7 + s) = 3(4s + 4) (-7 * 6 + s * 6) = 3(4s + 4) (-42 + 6s) = 3(4s + 4) Reorder the terms: -42 + 6s = 3(4 + 4s) -42 + 6s = (4 * 3 + 4s * 3) -42 + 6s = (12 + 12s) Solving -42 + 6s = 12 + 12s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-12s' to each side of the equation. -42 + 6s + -12s = 12 + 12s + -12s Combine like terms: 6s + -12s = -6s -42 + -6s = 12 + 12s + -12s Combine like terms: 12s + -12s = 0 -42 + -6s = 12 + 0 -42 + -6s = 12 Add '42' to each side of the equation. -42 + 42 + -6s = 12 + 42 Combine like terms: -42 + 42 = 0 0 + -6s = 12 + 42 -6s = 12 + 42 Combine like terms: 12 + 42 = 54 -6s = 54 Divide each side by '-6'. s = -9 Simplifying s = -9
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