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Simplifying 7(a + -8) + 19 = 2(a + -6) Reorder the terms: 7(-8 + a) + 19 = 2(a + -6) (-8 * 7 + a * 7) + 19 = 2(a + -6) (-56 + 7a) + 19 = 2(a + -6) Reorder the terms: -56 + 19 + 7a = 2(a + -6) Combine like terms: -56 + 19 = -37 -37 + 7a = 2(a + -6) Reorder the terms: -37 + 7a = 2(-6 + a) -37 + 7a = (-6 * 2 + a * 2) -37 + 7a = (-12 + 2a) Solving -37 + 7a = -12 + 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. -37 + 7a + -2a = -12 + 2a + -2a Combine like terms: 7a + -2a = 5a -37 + 5a = -12 + 2a + -2a Combine like terms: 2a + -2a = 0 -37 + 5a = -12 + 0 -37 + 5a = -12 Add '37' to each side of the equation. -37 + 37 + 5a = -12 + 37 Combine like terms: -37 + 37 = 0 0 + 5a = -12 + 37 5a = -12 + 37 Combine like terms: -12 + 37 = 25 5a = 25 Divide each side by '5'. a = 5 Simplifying a = 5
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