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Simplifying 4(s + 7) + -8 = 10(s + -4) Reorder the terms: 4(7 + s) + -8 = 10(s + -4) (7 * 4 + s * 4) + -8 = 10(s + -4) (28 + 4s) + -8 = 10(s + -4) Reorder the terms: 28 + -8 + 4s = 10(s + -4) Combine like terms: 28 + -8 = 20 20 + 4s = 10(s + -4) Reorder the terms: 20 + 4s = 10(-4 + s) 20 + 4s = (-4 * 10 + s * 10) 20 + 4s = (-40 + 10s) Solving 20 + 4s = -40 + 10s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-10s' to each side of the equation. 20 + 4s + -10s = -40 + 10s + -10s Combine like terms: 4s + -10s = -6s 20 + -6s = -40 + 10s + -10s Combine like terms: 10s + -10s = 0 20 + -6s = -40 + 0 20 + -6s = -40 Add '-20' to each side of the equation. 20 + -20 + -6s = -40 + -20 Combine like terms: 20 + -20 = 0 0 + -6s = -40 + -20 -6s = -40 + -20 Combine like terms: -40 + -20 = -60 -6s = -60 Divide each side by '-6'. s = 10 Simplifying s = 10
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