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Simplifying 4(s + -7) + 6(a + -23) = 14 Reorder the terms: 4(-7 + s) + 6(a + -23) = 14 (-7 * 4 + s * 4) + 6(a + -23) = 14 (-28 + 4s) + 6(a + -23) = 14 Reorder the terms: -28 + 4s + 6(-23 + a) = 14 -28 + 4s + (-23 * 6 + a * 6) = 14 -28 + 4s + (-138 + 6a) = 14 Reorder the terms: -28 + -138 + 6a + 4s = 14 Combine like terms: -28 + -138 = -166 -166 + 6a + 4s = 14 Solving -166 + 6a + 4s = 14 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '166' to each side of the equation. -166 + 6a + 166 + 4s = 14 + 166 Reorder the terms: -166 + 166 + 6a + 4s = 14 + 166 Combine like terms: -166 + 166 = 0 0 + 6a + 4s = 14 + 166 6a + 4s = 14 + 166 Combine like terms: 14 + 166 = 180 6a + 4s = 180 Add '-4s' to each side of the equation. 6a + 4s + -4s = 180 + -4s Combine like terms: 4s + -4s = 0 6a + 0 = 180 + -4s 6a = 180 + -4s Divide each side by '6'. a = 30 + -0.6666666667s Simplifying a = 30 + -0.6666666667s
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