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Simplifying -3.5a + -1(2 + a) = -23 + 19.5a -3.5a + (2 * -1 + a * -1) = -23 + 19.5a -3.5a + (-2 + -1a) = -23 + 19.5a Reorder the terms: -2 + -3.5a + -1a = -23 + 19.5a Combine like terms: -3.5a + -1a = -4.5a -2 + -4.5a = -23 + 19.5a Solving -2 + -4.5a = -23 + 19.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19.5a' to each side of the equation. -2 + -4.5a + -19.5a = -23 + 19.5a + -19.5a Combine like terms: -4.5a + -19.5a = -24a -2 + -24a = -23 + 19.5a + -19.5a Combine like terms: 19.5a + -19.5a = 0.0 -2 + -24a = -23 + 0.0 -2 + -24a = -23 Add '2' to each side of the equation. -2 + 2 + -24a = -23 + 2 Combine like terms: -2 + 2 = 0 0 + -24a = -23 + 2 -24a = -23 + 2 Combine like terms: -23 + 2 = -21 -24a = -21 Divide each side by '-24'. a = 0.875 Simplifying a = 0.875
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