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Simplifying 5(a + -4) = 6(a + -7) Reorder the terms: 5(-4 + a) = 6(a + -7) (-4 * 5 + a * 5) = 6(a + -7) (-20 + 5a) = 6(a + -7) Reorder the terms: -20 + 5a = 6(-7 + a) -20 + 5a = (-7 * 6 + a * 6) -20 + 5a = (-42 + 6a) Solving -20 + 5a = -42 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. -20 + 5a + -6a = -42 + 6a + -6a Combine like terms: 5a + -6a = -1a -20 + -1a = -42 + 6a + -6a Combine like terms: 6a + -6a = 0 -20 + -1a = -42 + 0 -20 + -1a = -42 Add '20' to each side of the equation. -20 + 20 + -1a = -42 + 20 Combine like terms: -20 + 20 = 0 0 + -1a = -42 + 20 -1a = -42 + 20 Combine like terms: -42 + 20 = -22 -1a = -22 Divide each side by '-1'. a = 22 Simplifying a = 22
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