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Simplifying 0.28(3s + -1) + -1s = 0.013(4 + -2s) Reorder the terms: 0.28(-1 + 3s) + -1s = 0.013(4 + -2s) (-1 * 0.28 + 3s * 0.28) + -1s = 0.013(4 + -2s) (-0.28 + 0.84s) + -1s = 0.013(4 + -2s) Combine like terms: 0.84s + -1s = -0.16s -0.28 + -0.16s = 0.013(4 + -2s) -0.28 + -0.16s = (4 * 0.013 + -2s * 0.013) -0.28 + -0.16s = (0.052 + -0.026s) Solving -0.28 + -0.16s = 0.052 + -0.026s Solving for variable 's'. Move all terms containing s to the left, all other terms to the right. Add '0.026s' to each side of the equation. -0.28 + -0.16s + 0.026s = 0.052 + -0.026s + 0.026s Combine like terms: -0.16s + 0.026s = -0.134s -0.28 + -0.134s = 0.052 + -0.026s + 0.026s Combine like terms: -0.026s + 0.026s = 0.000 -0.28 + -0.134s = 0.052 + 0.000 -0.28 + -0.134s = 0.052 Add '0.28' to each side of the equation. -0.28 + 0.28 + -0.134s = 0.052 + 0.28 Combine like terms: -0.28 + 0.28 = 0.00 0.00 + -0.134s = 0.052 + 0.28 -0.134s = 0.052 + 0.28 Combine like terms: 0.052 + 0.28 = 0.332 -0.134s = 0.332 Divide each side by '-0.134'. s = -2.47761194 Simplifying s = -2.47761194
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