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Simplifying 7(a + -7) + 19 = 2(a + -5) Reorder the terms: 7(-7 + a) + 19 = 2(a + -5) (-7 * 7 + a * 7) + 19 = 2(a + -5) (-49 + 7a) + 19 = 2(a + -5) Reorder the terms: -49 + 19 + 7a = 2(a + -5) Combine like terms: -49 + 19 = -30 -30 + 7a = 2(a + -5) Reorder the terms: -30 + 7a = 2(-5 + a) -30 + 7a = (-5 * 2 + a * 2) -30 + 7a = (-10 + 2a) Solving -30 + 7a = -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. -30 + 7a + -2a = -10 + 2a + -2a Combine like terms: 7a + -2a = 5a -30 + 5a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -30 + 5a = -10 + 0 -30 + 5a = -10 Add '30' to each side of the equation. -30 + 30 + 5a = -10 + 30 Combine like terms: -30 + 30 = 0 0 + 5a = -10 + 30 5a = -10 + 30 Combine like terms: -10 + 30 = 20 5a = 20 Divide each side by '5'. a = 4 Simplifying a = 4
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