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Simplifying 4(a + 8) + -2a = 6(a + -3) Reorder the terms: 4(8 + a) + -2a = 6(a + -3) (8 * 4 + a * 4) + -2a = 6(a + -3) (32 + 4a) + -2a = 6(a + -3) Combine like terms: 4a + -2a = 2a 32 + 2a = 6(a + -3) Reorder the terms: 32 + 2a = 6(-3 + a) 32 + 2a = (-3 * 6 + a * 6) 32 + 2a = (-18 + 6a) Solving 32 + 2a = -18 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 32 + 2a + -6a = -18 + 6a + -6a Combine like terms: 2a + -6a = -4a 32 + -4a = -18 + 6a + -6a Combine like terms: 6a + -6a = 0 32 + -4a = -18 + 0 32 + -4a = -18 Add '-32' to each side of the equation. 32 + -32 + -4a = -18 + -32 Combine like terms: 32 + -32 = 0 0 + -4a = -18 + -32 -4a = -18 + -32 Combine like terms: -18 + -32 = -50 -4a = -50 Divide each side by '-4'. a = 12.5 Simplifying a = 12.5
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