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Simplifying -6(4a + 7) + -2a = -5a + -2(4a + -5) Reorder the terms: -6(7 + 4a) + -2a = -5a + -2(4a + -5) (7 * -6 + 4a * -6) + -2a = -5a + -2(4a + -5) (-42 + -24a) + -2a = -5a + -2(4a + -5) Combine like terms: -24a + -2a = -26a -42 + -26a = -5a + -2(4a + -5) Reorder the terms: -42 + -26a = -5a + -2(-5 + 4a) -42 + -26a = -5a + (-5 * -2 + 4a * -2) -42 + -26a = -5a + (10 + -8a) Reorder the terms: -42 + -26a = 10 + -5a + -8a Combine like terms: -5a + -8a = -13a -42 + -26a = 10 + -13a Solving -42 + -26a = 10 + -13a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13a' to each side of the equation. -42 + -26a + 13a = 10 + -13a + 13a Combine like terms: -26a + 13a = -13a -42 + -13a = 10 + -13a + 13a Combine like terms: -13a + 13a = 0 -42 + -13a = 10 + 0 -42 + -13a = 10 Add '42' to each side of the equation. -42 + 42 + -13a = 10 + 42 Combine like terms: -42 + 42 = 0 0 + -13a = 10 + 42 -13a = 10 + 42 Combine like terms: 10 + 42 = 52 -13a = 52 Divide each side by '-13'. a = -4 Simplifying a = -4
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