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Simplifying 0.75(5 + s) + 4 = 3s + 1 (5 * 0.75 + s * 0.75) + 4 = 3s + 1 (3.75 + 0.75s) + 4 = 3s + 1 Reorder the terms: 3.75 + 4 + 0.75s = 3s + 1 Combine like terms: 3.75 + 4 = 7.75 7.75 + 0.75s = 3s + 1 Reorder the terms: 7.75 + 0.75s = 1 + 3s Solving 7.75 + 0.75s = 1 + 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. 7.75 + 0.75s + -3s = 1 + 3s + -3s Combine like terms: 0.75s + -3s = -2.25s 7.75 + -2.25s = 1 + 3s + -3s Combine like terms: 3s + -3s = 0 7.75 + -2.25s = 1 + 0 7.75 + -2.25s = 1 Add '-7.75' to each side of the equation. 7.75 + -7.75 + -2.25s = 1 + -7.75 Combine like terms: 7.75 + -7.75 = 0.00 0.00 + -2.25s = 1 + -7.75 -2.25s = 1 + -7.75 Combine like terms: 1 + -7.75 = -6.75 -2.25s = -6.75 Divide each side by '-2.25'. s = 3 Simplifying s = 3
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