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Simplifying 4(a + -2) = 6(a + 5) Reorder the terms: 4(-2 + a) = 6(a + 5) (-2 * 4 + a * 4) = 6(a + 5) (-8 + 4a) = 6(a + 5) Reorder the terms: -8 + 4a = 6(5 + a) -8 + 4a = (5 * 6 + a * 6) -8 + 4a = (30 + 6a) Solving -8 + 4a = 30 + 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. -8 + 4a + -6a = 30 + 6a + -6a Combine like terms: 4a + -6a = -2a -8 + -2a = 30 + 6a + -6a Combine like terms: 6a + -6a = 0 -8 + -2a = 30 + 0 -8 + -2a = 30 Add '8' to each side of the equation. -8 + 8 + -2a = 30 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = 30 + 8 -2a = 30 + 8 Combine like terms: 30 + 8 = 38 -2a = 38 Divide each side by '-2'. a = -19 Simplifying a = -19
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