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Simplifying 5a + -1 = -8(a + 10) + 12(2 + a) Reorder the terms: -1 + 5a = -8(a + 10) + 12(2 + a) Reorder the terms: -1 + 5a = -8(10 + a) + 12(2 + a) -1 + 5a = (10 * -8 + a * -8) + 12(2 + a) -1 + 5a = (-80 + -8a) + 12(2 + a) -1 + 5a = -80 + -8a + (2 * 12 + a * 12) -1 + 5a = -80 + -8a + (24 + 12a) Reorder the terms: -1 + 5a = -80 + 24 + -8a + 12a Combine like terms: -80 + 24 = -56 -1 + 5a = -56 + -8a + 12a Combine like terms: -8a + 12a = 4a -1 + 5a = -56 + 4a Solving -1 + 5a = -56 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -1 + 5a + -4a = -56 + 4a + -4a Combine like terms: 5a + -4a = 1a -1 + 1a = -56 + 4a + -4a Combine like terms: 4a + -4a = 0 -1 + 1a = -56 + 0 -1 + 1a = -56 Add '1' to each side of the equation. -1 + 1 + 1a = -56 + 1 Combine like terms: -1 + 1 = 0 0 + 1a = -56 + 1 1a = -56 + 1 Combine like terms: -56 + 1 = -55 1a = -55 Divide each side by '1'. a = -55 Simplifying a = -55
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