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Simplifying 6(a + -7) + 16 = 2(a + -5) Reorder the terms: 6(-7 + a) + 16 = 2(a + -5) (-7 * 6 + a * 6) + 16 = 2(a + -5) (-42 + 6a) + 16 = 2(a + -5) Reorder the terms: -42 + 16 + 6a = 2(a + -5) Combine like terms: -42 + 16 = -26 -26 + 6a = 2(a + -5) Reorder the terms: -26 + 6a = 2(-5 + a) -26 + 6a = (-5 * 2 + a * 2) -26 + 6a = (-10 + 2a) Solving -26 + 6a = -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. -26 + 6a + -2a = -10 + 2a + -2a Combine like terms: 6a + -2a = 4a -26 + 4a = -10 + 2a + -2a Combine like terms: 2a + -2a = 0 -26 + 4a = -10 + 0 -26 + 4a = -10 Add '26' to each side of the equation. -26 + 26 + 4a = -10 + 26 Combine like terms: -26 + 26 = 0 0 + 4a = -10 + 26 4a = -10 + 26 Combine like terms: -10 + 26 = 16 4a = 16 Divide each side by '4'. a = 4 Simplifying a = 4
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