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Simplifying 4s + -6 = 2(s + -4) + -5(s + 3) Reorder the terms: -6 + 4s = 2(s + -4) + -5(s + 3) Reorder the terms: -6 + 4s = 2(-4 + s) + -5(s + 3) -6 + 4s = (-4 * 2 + s * 2) + -5(s + 3) -6 + 4s = (-8 + 2s) + -5(s + 3) Reorder the terms: -6 + 4s = -8 + 2s + -5(3 + s) -6 + 4s = -8 + 2s + (3 * -5 + s * -5) -6 + 4s = -8 + 2s + (-15 + -5s) Reorder the terms: -6 + 4s = -8 + -15 + 2s + -5s Combine like terms: -8 + -15 = -23 -6 + 4s = -23 + 2s + -5s Combine like terms: 2s + -5s = -3s -6 + 4s = -23 + -3s Solving -6 + 4s = -23 + -3s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '3s' to each side of the equation. -6 + 4s + 3s = -23 + -3s + 3s Combine like terms: 4s + 3s = 7s -6 + 7s = -23 + -3s + 3s Combine like terms: -3s + 3s = 0 -6 + 7s = -23 + 0 -6 + 7s = -23 Add '6' to each side of the equation. -6 + 6 + 7s = -23 + 6 Combine like terms: -6 + 6 = 0 0 + 7s = -23 + 6 7s = -23 + 6 Combine like terms: -23 + 6 = -17 7s = -17 Divide each side by '7'. s = -2.428571429 Simplifying s = -2.428571429
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