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Simplifying 6(a + -5) = 4(a + 1) Reorder the terms: 6(-5 + a) = 4(a + 1) (-5 * 6 + a * 6) = 4(a + 1) (-30 + 6a) = 4(a + 1) Reorder the terms: -30 + 6a = 4(1 + a) -30 + 6a = (1 * 4 + a * 4) -30 + 6a = (4 + 4a) Solving -30 + 6a = 4 + 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. -30 + 6a + -4a = 4 + 4a + -4a Combine like terms: 6a + -4a = 2a -30 + 2a = 4 + 4a + -4a Combine like terms: 4a + -4a = 0 -30 + 2a = 4 + 0 -30 + 2a = 4 Add '30' to each side of the equation. -30 + 30 + 2a = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 2a = 4 + 30 2a = 4 + 30 Combine like terms: 4 + 30 = 34 2a = 34 Divide each side by '2'. a = 17 Simplifying a = 17
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