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Simplifying 7(2s + -3) = 3(4s + -5) Reorder the terms: 7(-3 + 2s) = 3(4s + -5) (-3 * 7 + 2s * 7) = 3(4s + -5) (-21 + 14s) = 3(4s + -5) Reorder the terms: -21 + 14s = 3(-5 + 4s) -21 + 14s = (-5 * 3 + 4s * 3) -21 + 14s = (-15 + 12s) Solving -21 + 14s = -15 + 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. -21 + 14s + -12s = -15 + 12s + -12s Combine like terms: 14s + -12s = 2s -21 + 2s = -15 + 12s + -12s Combine like terms: 12s + -12s = 0 -21 + 2s = -15 + 0 -21 + 2s = -15 Add '21' to each side of the equation. -21 + 21 + 2s = -15 + 21 Combine like terms: -21 + 21 = 0 0 + 2s = -15 + 21 2s = -15 + 21 Combine like terms: -15 + 21 = 6 2s = 6 Divide each side by '2'. s = 3 Simplifying s = 3
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