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Simplifying 4(2a + 5) = 2(5a + -6) Reorder the terms: 4(5 + 2a) = 2(5a + -6) (5 * 4 + 2a * 4) = 2(5a + -6) (20 + 8a) = 2(5a + -6) Reorder the terms: 20 + 8a = 2(-6 + 5a) 20 + 8a = (-6 * 2 + 5a * 2) 20 + 8a = (-12 + 10a) Solving 20 + 8a = -12 + 10a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-10a' to each side of the equation. 20 + 8a + -10a = -12 + 10a + -10a Combine like terms: 8a + -10a = -2a 20 + -2a = -12 + 10a + -10a Combine like terms: 10a + -10a = 0 20 + -2a = -12 + 0 20 + -2a = -12 Add '-20' to each side of the equation. 20 + -20 + -2a = -12 + -20 Combine like terms: 20 + -20 = 0 0 + -2a = -12 + -20 -2a = -12 + -20 Combine like terms: -12 + -20 = -32 -2a = -32 Divide each side by '-2'. a = 16 Simplifying a = 16
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