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Simplifying 3 + 3(2s + -4) + -3(4a + 8) + -10 = 0 Reorder the terms: 3 + 3(-4 + 2s) + -3(4a + 8) + -10 = 0 3 + (-4 * 3 + 2s * 3) + -3(4a + 8) + -10 = 0 3 + (-12 + 6s) + -3(4a + 8) + -10 = 0 Reorder the terms: 3 + -12 + 6s + -3(8 + 4a) + -10 = 0 3 + -12 + 6s + (8 * -3 + 4a * -3) + -10 = 0 3 + -12 + 6s + (-24 + -12a) + -10 = 0 Reorder the terms: 3 + -12 + -24 + -10 + -12a + 6s = 0 Combine like terms: 3 + -12 = -9 -9 + -24 + -10 + -12a + 6s = 0 Combine like terms: -9 + -24 = -33 -33 + -10 + -12a + 6s = 0 Combine like terms: -33 + -10 = -43 -43 + -12a + 6s = 0 Solving -43 + -12a + 6s = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '43' to each side of the equation. -43 + -12a + 43 + 6s = 0 + 43 Reorder the terms: -43 + 43 + -12a + 6s = 0 + 43 Combine like terms: -43 + 43 = 0 0 + -12a + 6s = 0 + 43 -12a + 6s = 0 + 43 Combine like terms: 0 + 43 = 43 -12a + 6s = 43 Add '-6s' to each side of the equation. -12a + 6s + -6s = 43 + -6s Combine like terms: 6s + -6s = 0 -12a + 0 = 43 + -6s -12a = 43 + -6s Divide each side by '-12'. a = -3.583333333 + 0.5s Simplifying a = -3.583333333 + 0.5s
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