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Simplifying 3(a + -5) + -4(2a + 5) + 6(a + 2a) = 4 Reorder the terms: 3(-5 + a) + -4(2a + 5) + 6(a + 2a) = 4 (-5 * 3 + a * 3) + -4(2a + 5) + 6(a + 2a) = 4 (-15 + 3a) + -4(2a + 5) + 6(a + 2a) = 4 Reorder the terms: -15 + 3a + -4(5 + 2a) + 6(a + 2a) = 4 -15 + 3a + (5 * -4 + 2a * -4) + 6(a + 2a) = 4 -15 + 3a + (-20 + -8a) + 6(a + 2a) = 4 Combine like terms: a + 2a = 3a -15 + 3a + -20 + -8a + 6(3a) = 4 Remove parenthesis around (3a) -15 + 3a + -20 + -8a + 6 * 3a = 4 Multiply 6 * 3 -15 + 3a + -20 + -8a + 18a = 4 Reorder the terms: -15 + -20 + 3a + -8a + 18a = 4 Combine like terms: -15 + -20 = -35 -35 + 3a + -8a + 18a = 4 Combine like terms: 3a + -8a = -5a -35 + -5a + 18a = 4 Combine like terms: -5a + 18a = 13a -35 + 13a = 4 Solving -35 + 13a = 4 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '35' to each side of the equation. -35 + 35 + 13a = 4 + 35 Combine like terms: -35 + 35 = 0 0 + 13a = 4 + 35 13a = 4 + 35 Combine like terms: 4 + 35 = 39 13a = 39 Divide each side by '13'. a = 3 Simplifying a = 3
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