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Simplifying 8(a + 3 + -9) + -4(2a + 5) = 2a + 4 Reorder the terms: 8(3 + -9 + a) + -4(2a + 5) = 2a + 4 Combine like terms: 3 + -9 = -6 8(-6 + a) + -4(2a + 5) = 2a + 4 (-6 * 8 + a * 8) + -4(2a + 5) = 2a + 4 (-48 + 8a) + -4(2a + 5) = 2a + 4 Reorder the terms: -48 + 8a + -4(5 + 2a) = 2a + 4 -48 + 8a + (5 * -4 + 2a * -4) = 2a + 4 -48 + 8a + (-20 + -8a) = 2a + 4 Reorder the terms: -48 + -20 + 8a + -8a = 2a + 4 Combine like terms: -48 + -20 = -68 -68 + 8a + -8a = 2a + 4 Combine like terms: 8a + -8a = 0 -68 + 0 = 2a + 4 -68 = 2a + 4 Reorder the terms: -68 = 4 + 2a Solving -68 = 4 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -68 + -2a = 4 + 2a + -2a Combine like terms: 2a + -2a = 0 -68 + -2a = 4 + 0 -68 + -2a = 4 Add '68' to each side of the equation. -68 + 68 + -2a = 4 + 68 Combine like terms: -68 + 68 = 0 0 + -2a = 4 + 68 -2a = 4 + 68 Combine like terms: 4 + 68 = 72 -2a = 72 Divide each side by '-2'. a = -36 Simplifying a = -36
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