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Simplifying 6(a + -7) + 20 = 4(a + -4) Reorder the terms: 6(-7 + a) + 20 = 4(a + -4) (-7 * 6 + a * 6) + 20 = 4(a + -4) (-42 + 6a) + 20 = 4(a + -4) Reorder the terms: -42 + 20 + 6a = 4(a + -4) Combine like terms: -42 + 20 = -22 -22 + 6a = 4(a + -4) Reorder the terms: -22 + 6a = 4(-4 + a) -22 + 6a = (-4 * 4 + a * 4) -22 + 6a = (-16 + 4a) Solving -22 + 6a = -16 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -22 + 6a + -4a = -16 + 4a + -4a Combine like terms: 6a + -4a = 2a -22 + 2a = -16 + 4a + -4a Combine like terms: 4a + -4a = 0 -22 + 2a = -16 + 0 -22 + 2a = -16 Add '22' to each side of the equation. -22 + 22 + 2a = -16 + 22 Combine like terms: -22 + 22 = 0 0 + 2a = -16 + 22 2a = -16 + 22 Combine like terms: -16 + 22 = 6 2a = 6 Divide each side by '2'. a = 3 Simplifying a = 3
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