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Simplifying 4(a + -7) + 6 = 2(a + -5) Reorder the terms: 4(-7 + a) + 6 = 2(a + -5) (-7 * 4 + a * 4) + 6 = 2(a + -5) (-28 + 4a) + 6 = 2(a + -5) Reorder the terms: -28 + 6 + 4a = 2(a + -5) Combine like terms: -28 + 6 = -22 -22 + 4a = 2(a + -5) Reorder the terms: -22 + 4a = 2(-5 + a) -22 + 4a = (-5 * 2 + a * 2) -22 + 4a = (-10 + 2a) Solving -22 + 4a = -10 + 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. -22 + 4a + -2a = -10 + 2a + -2a Combine like terms: 4a + -2a = 2a -22 + 2a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 + 2a = -10 + 0 -22 + 2a = -10 Add '22' to each side of the equation. -22 + 22 + 2a = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 2a = -10 + 22 2a = -10 + 22 Combine like terms: -10 + 22 = 12 2a = 12 Divide each side by '2'. a = 6 Simplifying a = 6
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