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Simplifying 2(3a + -4) + 6 = 8(a + 1) Reorder the terms: 2(-4 + 3a) + 6 = 8(a + 1) (-4 * 2 + 3a * 2) + 6 = 8(a + 1) (-8 + 6a) + 6 = 8(a + 1) Reorder the terms: -8 + 6 + 6a = 8(a + 1) Combine like terms: -8 + 6 = -2 -2 + 6a = 8(a + 1) Reorder the terms: -2 + 6a = 8(1 + a) -2 + 6a = (1 * 8 + a * 8) -2 + 6a = (8 + 8a) Solving -2 + 6a = 8 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. -2 + 6a + -8a = 8 + 8a + -8a Combine like terms: 6a + -8a = -2a -2 + -2a = 8 + 8a + -8a Combine like terms: 8a + -8a = 0 -2 + -2a = 8 + 0 -2 + -2a = 8 Add '2' to each side of the equation. -2 + 2 + -2a = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -2a = 8 + 2 -2a = 8 + 2 Combine like terms: 8 + 2 = 10 -2a = 10 Divide each side by '-2'. a = -5 Simplifying a = -5
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