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Simplifying 5(a + -7) + 13 = 2(a + -5) Reorder the terms: 5(-7 + a) + 13 = 2(a + -5) (-7 * 5 + a * 5) + 13 = 2(a + -5) (-35 + 5a) + 13 = 2(a + -5) Reorder the terms: -35 + 13 + 5a = 2(a + -5) Combine like terms: -35 + 13 = -22 -22 + 5a = 2(a + -5) Reorder the terms: -22 + 5a = 2(-5 + a) -22 + 5a = (-5 * 2 + a * 2) -22 + 5a = (-10 + 2a) Solving -22 + 5a = -10 + 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 + 5a + -2a = -10 + 2a + -2a Combine like terms: 5a + -2a = 3a -22 + 3a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -22 + 3a = -10 + 0 -22 + 3a = -10 Add '22' to each side of the equation. -22 + 22 + 3a = -10 + 22 Combine like terms: -22 + 22 = 0 0 + 3a = -10 + 22 3a = -10 + 22 Combine like terms: -10 + 22 = 12 3a = 12 Divide each side by '3'. a = 4 Simplifying a = 4
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