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Simplifying -19 + -5a = -8a + -8(a + 1) Reorder the terms: -19 + -5a = -8a + -8(1 + a) -19 + -5a = -8a + (1 * -8 + a * -8) -19 + -5a = -8a + (-8 + -8a) Reorder the terms: -19 + -5a = -8 + -8a + -8a Combine like terms: -8a + -8a = -16a -19 + -5a = -8 + -16a Solving -19 + -5a = -8 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. -19 + -5a + 16a = -8 + -16a + 16a Combine like terms: -5a + 16a = 11a -19 + 11a = -8 + -16a + 16a Combine like terms: -16a + 16a = 0 -19 + 11a = -8 + 0 -19 + 11a = -8 Add '19' to each side of the equation. -19 + 19 + 11a = -8 + 19 Combine like terms: -19 + 19 = 0 0 + 11a = -8 + 19 11a = -8 + 19 Combine like terms: -8 + 19 = 11 11a = 11 Divide each side by '11'. a = 1 Simplifying a = 1
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