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Simplifying 5(a + -6) + 19 = 2(a + -4) Reorder the terms: 5(-6 + a) + 19 = 2(a + -4) (-6 * 5 + a * 5) + 19 = 2(a + -4) (-30 + 5a) + 19 = 2(a + -4) Reorder the terms: -30 + 19 + 5a = 2(a + -4) Combine like terms: -30 + 19 = -11 -11 + 5a = 2(a + -4) Reorder the terms: -11 + 5a = 2(-4 + a) -11 + 5a = (-4 * 2 + a * 2) -11 + 5a = (-8 + 2a) Solving -11 + 5a = -8 + 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. -11 + 5a + -2a = -8 + 2a + -2a Combine like terms: 5a + -2a = 3a -11 + 3a = -8 + 2a + -2a Combine like terms: 2a + -2a = 0 -11 + 3a = -8 + 0 -11 + 3a = -8 Add '11' to each side of the equation. -11 + 11 + 3a = -8 + 11 Combine like terms: -11 + 11 = 0 0 + 3a = -8 + 11 3a = -8 + 11 Combine like terms: -8 + 11 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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