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Simplifying 0.26(2s + -2) + -1s = 0.29(6 + -2s) Reorder the terms: 0.26(-2 + 2s) + -1s = 0.29(6 + -2s) (-2 * 0.26 + 2s * 0.26) + -1s = 0.29(6 + -2s) (-0.52 + 0.52s) + -1s = 0.29(6 + -2s) Combine like terms: 0.52s + -1s = -0.48s -0.52 + -0.48s = 0.29(6 + -2s) -0.52 + -0.48s = (6 * 0.29 + -2s * 0.29) -0.52 + -0.48s = (1.74 + -0.58s) Solving -0.52 + -0.48s = 1.74 + -0.58s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '0.58s' to each side of the equation. -0.52 + -0.48s + 0.58s = 1.74 + -0.58s + 0.58s Combine like terms: -0.48s + 0.58s = 0.1s -0.52 + 0.1s = 1.74 + -0.58s + 0.58s Combine like terms: -0.58s + 0.58s = 0.00 -0.52 + 0.1s = 1.74 + 0.00 -0.52 + 0.1s = 1.74 Add '0.52' to each side of the equation. -0.52 + 0.52 + 0.1s = 1.74 + 0.52 Combine like terms: -0.52 + 0.52 = 0.00 0.00 + 0.1s = 1.74 + 0.52 0.1s = 1.74 + 0.52 Combine like terms: 1.74 + 0.52 = 2.26 0.1s = 2.26 Divide each side by '0.1'. s = 22.6 Simplifying s = 22.6
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