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Simplifying 6(a + -5) + 12 = 4(a + -4) Reorder the terms: 6(-5 + a) + 12 = 4(a + -4) (-5 * 6 + a * 6) + 12 = 4(a + -4) (-30 + 6a) + 12 = 4(a + -4) Reorder the terms: -30 + 12 + 6a = 4(a + -4) Combine like terms: -30 + 12 = -18 -18 + 6a = 4(a + -4) Reorder the terms: -18 + 6a = 4(-4 + a) -18 + 6a = (-4 * 4 + a * 4) -18 + 6a = (-16 + 4a) Solving -18 + 6a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -18 + 6a + -4a = -16 + 4a + -4a Combine like terms: 6a + -4a = 2a -18 + 2a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -18 + 2a = -16 + 0 -18 + 2a = -16 Add '18' to each side of the equation. -18 + 18 + 2a = -16 + 18 Combine like terms: -18 + 18 = 0 0 + 2a = -16 + 18 2a = -16 + 18 Combine like terms: -16 + 18 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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