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Simplifying 5(2a + 1) + -2(a + 6) = 0 Reorder the terms: 5(1 + 2a) + -2(a + 6) = 0 (1 * 5 + 2a * 5) + -2(a + 6) = 0 (5 + 10a) + -2(a + 6) = 0 Reorder the terms: 5 + 10a + -2(6 + a) = 0 5 + 10a + (6 * -2 + a * -2) = 0 5 + 10a + (-12 + -2a) = 0 Reorder the terms: 5 + -12 + 10a + -2a = 0 Combine like terms: 5 + -12 = -7 -7 + 10a + -2a = 0 Combine like terms: 10a + -2a = 8a -7 + 8a = 0 Solving -7 + 8a = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 8a = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 8a = 0 + 7 8a = 0 + 7 Combine like terms: 0 + 7 = 7 8a = 7 Divide each side by '8'. a = 0.875 Simplifying a = 0.875
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