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Simplifying 10a + 5 = 4(a + -1) + 15 Reorder the terms: 5 + 10a = 4(a + -1) + 15 Reorder the terms: 5 + 10a = 4(-1 + a) + 15 5 + 10a = (-1 * 4 + a * 4) + 15 5 + 10a = (-4 + 4a) + 15 Reorder the terms: 5 + 10a = -4 + 15 + 4a Combine like terms: -4 + 15 = 11 5 + 10a = 11 + 4a Solving 5 + 10a = 11 + 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. 5 + 10a + -4a = 11 + 4a + -4a Combine like terms: 10a + -4a = 6a 5 + 6a = 11 + 4a + -4a Combine like terms: 4a + -4a = 0 5 + 6a = 11 + 0 5 + 6a = 11 Add '-5' to each side of the equation. 5 + -5 + 6a = 11 + -5 Combine like terms: 5 + -5 = 0 0 + 6a = 11 + -5 6a = 11 + -5 Combine like terms: 11 + -5 = 6 6a = 6 Divide each side by '6'. a = 1 Simplifying a = 1
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