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Simplifying 7(s + 3) = 4(s + -10) + 13 Reorder the terms: 7(3 + s) = 4(s + -10) + 13 (3 * 7 + s * 7) = 4(s + -10) + 13 (21 + 7s) = 4(s + -10) + 13 Reorder the terms: 21 + 7s = 4(-10 + s) + 13 21 + 7s = (-10 * 4 + s * 4) + 13 21 + 7s = (-40 + 4s) + 13 Reorder the terms: 21 + 7s = -40 + 13 + 4s Combine like terms: -40 + 13 = -27 21 + 7s = -27 + 4s Solving 21 + 7s = -27 + 4s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '-4s' to each side of the equation. 21 + 7s + -4s = -27 + 4s + -4s Combine like terms: 7s + -4s = 3s 21 + 3s = -27 + 4s + -4s Combine like terms: 4s + -4s = 0 21 + 3s = -27 + 0 21 + 3s = -27 Add '-21' to each side of the equation. 21 + -21 + 3s = -27 + -21 Combine like terms: 21 + -21 = 0 0 + 3s = -27 + -21 3s = -27 + -21 Combine like terms: -27 + -21 = -48 3s = -48 Divide each side by '3'. s = -16 Simplifying s = -16
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