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Simplifying 8(3a + -4) = 11(2a + -2) Reorder the terms: 8(-4 + 3a) = 11(2a + -2) (-4 * 8 + 3a * 8) = 11(2a + -2) (-32 + 24a) = 11(2a + -2) Reorder the terms: -32 + 24a = 11(-2 + 2a) -32 + 24a = (-2 * 11 + 2a * 11) -32 + 24a = (-22 + 22a) Solving -32 + 24a = -22 + 22a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-22a' to each side of the equation. -32 + 24a + -22a = -22 + 22a + -22a Combine like terms: 24a + -22a = 2a -32 + 2a = -22 + 22a + -22a Combine like terms: 22a + -22a = 0 -32 + 2a = -22 + 0 -32 + 2a = -22 Add '32' to each side of the equation. -32 + 32 + 2a = -22 + 32 Combine like terms: -32 + 32 = 0 0 + 2a = -22 + 32 2a = -22 + 32 Combine like terms: -22 + 32 = 10 2a = 10 Divide each side by '2'. a = 5 Simplifying a = 5
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