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Simplifying 6(s + -14) + 2(s + -3) = 14 Reorder the terms: 6(-14 + s) + 2(s + -3) = 14 (-14 * 6 + s * 6) + 2(s + -3) = 14 (-84 + 6s) + 2(s + -3) = 14 Reorder the terms: -84 + 6s + 2(-3 + s) = 14 -84 + 6s + (-3 * 2 + s * 2) = 14 -84 + 6s + (-6 + 2s) = 14 Reorder the terms: -84 + -6 + 6s + 2s = 14 Combine like terms: -84 + -6 = -90 -90 + 6s + 2s = 14 Combine like terms: 6s + 2s = 8s -90 + 8s = 14 Solving -90 + 8s = 14 Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '90' to each side of the equation. -90 + 90 + 8s = 14 + 90 Combine like terms: -90 + 90 = 0 0 + 8s = 14 + 90 8s = 14 + 90 Combine like terms: 14 + 90 = 104 8s = 104 Divide each side by '8'. s = 13 Simplifying s = 13
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