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Simplifying 6(a + -5) + 8 = 2(a + -7) Reorder the terms: 6(-5 + a) + 8 = 2(a + -7) (-5 * 6 + a * 6) + 8 = 2(a + -7) (-30 + 6a) + 8 = 2(a + -7) Reorder the terms: -30 + 8 + 6a = 2(a + -7) Combine like terms: -30 + 8 = -22 -22 + 6a = 2(a + -7) Reorder the terms: -22 + 6a = 2(-7 + a) -22 + 6a = (-7 * 2 + a * 2) -22 + 6a = (-14 + 2a) Solving -22 + 6a = -14 + 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 + 6a + -2a = -14 + 2a + -2a Combine like terms: 6a + -2a = 4a -22 + 4a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 + 4a = -14 + 0 -22 + 4a = -14 Add '22' to each side of the equation. -22 + 22 + 4a = -14 + 22 Combine like terms: -22 + 22 = 0 0 + 4a = -14 + 22 4a = -14 + 22 Combine like terms: -14 + 22 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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