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Simplifying 8(a + 6 + 2b) = 0 Reorder the terms: 8(6 + a + 2b) = 0 (6 * 8 + a * 8 + 2b * 8) = 0 (48 + 8a + 16b) = 0 Solving 48 + 8a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48' to each side of the equation. 48 + 8a + -48 + 16b = 0 + -48 Reorder the terms: 48 + -48 + 8a + 16b = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8a + 16b = 0 + -48 8a + 16b = 0 + -48 Combine like terms: 0 + -48 = -48 8a + 16b = -48 Add '-16b' to each side of the equation. 8a + 16b + -16b = -48 + -16b Combine like terms: 16b + -16b = 0 8a + 0 = -48 + -16b 8a = -48 + -16b Divide each side by '8'. a = -6 + -2b Simplifying a = -6 + -2b
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