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Simplifying a + -5 = 6(a + 10) Reorder the terms: -5 + a = 6(a + 10) Reorder the terms: -5 + a = 6(10 + a) -5 + a = (10 * 6 + a * 6) -5 + a = (60 + 6a) Solving -5 + a = 60 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -5 + a + -6a = 60 + 6a + -6a Combine like terms: a + -6a = -5a -5 + -5a = 60 + 6a + -6a Combine like terms: 6a + -6a = 0 -5 + -5a = 60 + 0 -5 + -5a = 60 Add '5' to each side of the equation. -5 + 5 + -5a = 60 + 5 Combine like terms: -5 + 5 = 0 0 + -5a = 60 + 5 -5a = 60 + 5 Combine like terms: 60 + 5 = 65 -5a = 65 Divide each side by '-5'. a = -13 Simplifying a = -13
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