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Simplifying 8(2 + -1a) + -10(4 + -1a) = 10(3a + 15) (2 * 8 + -1a * 8) + -10(4 + -1a) = 10(3a + 15) (16 + -8a) + -10(4 + -1a) = 10(3a + 15) 16 + -8a + (4 * -10 + -1a * -10) = 10(3a + 15) 16 + -8a + (-40 + 10a) = 10(3a + 15) Reorder the terms: 16 + -40 + -8a + 10a = 10(3a + 15) Combine like terms: 16 + -40 = -24 -24 + -8a + 10a = 10(3a + 15) Combine like terms: -8a + 10a = 2a -24 + 2a = 10(3a + 15) Reorder the terms: -24 + 2a = 10(15 + 3a) -24 + 2a = (15 * 10 + 3a * 10) -24 + 2a = (150 + 30a) Solving -24 + 2a = 150 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. -24 + 2a + -30a = 150 + 30a + -30a Combine like terms: 2a + -30a = -28a -24 + -28a = 150 + 30a + -30a Combine like terms: 30a + -30a = 0 -24 + -28a = 150 + 0 -24 + -28a = 150 Add '24' to each side of the equation. -24 + 24 + -28a = 150 + 24 Combine like terms: -24 + 24 = 0 0 + -28a = 150 + 24 -28a = 150 + 24 Combine like terms: 150 + 24 = 174 -28a = 174 Divide each side by '-28'. a = -6.214285714 Simplifying a = -6.214285714
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