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Simplifying 7(a + -6) + 20 = 2(a + -6) Reorder the terms: 7(-6 + a) + 20 = 2(a + -6) (-6 * 7 + a * 7) + 20 = 2(a + -6) (-42 + 7a) + 20 = 2(a + -6) Reorder the terms: -42 + 20 + 7a = 2(a + -6) Combine like terms: -42 + 20 = -22 -22 + 7a = 2(a + -6) Reorder the terms: -22 + 7a = 2(-6 + a) -22 + 7a = (-6 * 2 + a * 2) -22 + 7a = (-12 + 2a) Solving -22 + 7a = -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. -22 + 7a + -2a = -12 + 2a + -2a Combine like terms: 7a + -2a = 5a -22 + 5a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 + 5a = -12 + 0 -22 + 5a = -12 Add '22' to each side of the equation. -22 + 22 + 5a = -12 + 22 Combine like terms: -22 + 22 = 0 0 + 5a = -12 + 22 5a = -12 + 22 Combine like terms: -12 + 22 = 10 5a = 10 Divide each side by '5'. a = 2 Simplifying a = 2
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