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Simplifying 6(a + -7) + 22 = 2(a + -6) Reorder the terms: 6(-7 + a) + 22 = 2(a + -6) (-7 * 6 + a * 6) + 22 = 2(a + -6) (-42 + 6a) + 22 = 2(a + -6) Reorder the terms: -42 + 22 + 6a = 2(a + -6) Combine like terms: -42 + 22 = -20 -20 + 6a = 2(a + -6) Reorder the terms: -20 + 6a = 2(-6 + a) -20 + 6a = (-6 * 2 + a * 2) -20 + 6a = (-12 + 2a) Solving -20 + 6a = -12 + 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. -20 + 6a + -2a = -12 + 2a + -2a Combine like terms: 6a + -2a = 4a -20 + 4a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -20 + 4a = -12 + 0 -20 + 4a = -12 Add '20' to each side of the equation. -20 + 20 + 4a = -12 + 20 Combine like terms: -20 + 20 = 0 0 + 4a = -12 + 20 4a = -12 + 20 Combine like terms: -12 + 20 = 8 4a = 8 Divide each side by '4'. a = 2 Simplifying a = 2
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