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Simplifying -5(a + 1) = (a + 10) Reorder the terms: -5(1 + a) = (a + 10) (1 * -5 + a * -5) = (a + 10) (-5 + -5a) = (a + 10) Reorder the terms: -5 + -5a = (10 + a) Remove parenthesis around (10 + a) -5 + -5a = 10 + a Solving -5 + -5a = 10 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. -5 + -5a + -1a = 10 + a + -1a Combine like terms: -5a + -1a = -6a -5 + -6a = 10 + a + -1a Combine like terms: a + -1a = 0 -5 + -6a = 10 + 0 -5 + -6a = 10 Add '5' to each side of the equation. -5 + 5 + -6a = 10 + 5 Combine like terms: -5 + 5 = 0 0 + -6a = 10 + 5 -6a = 10 + 5 Combine like terms: 10 + 5 = 15 -6a = 15 Divide each side by '-6'. a = -2.5 Simplifying a = -2.5
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