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Simplifying 4(5a + 16) = 16(a + -35) Reorder the terms: 4(16 + 5a) = 16(a + -35) (16 * 4 + 5a * 4) = 16(a + -35) (64 + 20a) = 16(a + -35) Reorder the terms: 64 + 20a = 16(-35 + a) 64 + 20a = (-35 * 16 + a * 16) 64 + 20a = (-560 + 16a) Solving 64 + 20a = -560 + 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 64 + 20a + -16a = -560 + 16a + -16a Combine like terms: 20a + -16a = 4a 64 + 4a = -560 + 16a + -16a Combine like terms: 16a + -16a = 0 64 + 4a = -560 + 0 64 + 4a = -560 Add '-64' to each side of the equation. 64 + -64 + 4a = -560 + -64 Combine like terms: 64 + -64 = 0 0 + 4a = -560 + -64 4a = -560 + -64 Combine like terms: -560 + -64 = -624 4a = -624 Divide each side by '4'. a = -156 Simplifying a = -156
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