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Simplifying (-2s + 33) + (s + 38) = (2) * 6s + -10 Reorder the terms: (33 + -2s) + (s + 38) = (2) * 6s + -10 Remove parenthesis around (33 + -2s) 33 + -2s + (s + 38) = (2) * 6s + -10 Reorder the terms: 33 + -2s + (38 + s) = (2) * 6s + -10 Remove parenthesis around (38 + s) 33 + -2s + 38 + s = (2) * 6s + -10 Reorder the terms: 33 + 38 + -2s + s = (2) * 6s + -10 Combine like terms: 33 + 38 = 71 71 + -2s + s = (2) * 6s + -10 Combine like terms: -2s + s = -1s 71 + -1s = (2) * 6s + -10 Multiply 2 * 6 71 + -1s = 12s + -10 Reorder the terms: 71 + -1s = -10 + 12s Solving 71 + -1s = -10 + 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. 71 + -1s + -12s = -10 + 12s + -12s Combine like terms: -1s + -12s = -13s 71 + -13s = -10 + 12s + -12s Combine like terms: 12s + -12s = 0 71 + -13s = -10 + 0 71 + -13s = -10 Add '-71' to each side of the equation. 71 + -71 + -13s = -10 + -71 Combine like terms: 71 + -71 = 0 0 + -13s = -10 + -71 -13s = -10 + -71 Combine like terms: -10 + -71 = -81 -13s = -81 Divide each side by '-13'. s = 6.230769231 Simplifying s = 6.230769231
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