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Simplifying 6(a + -7) + 16 = 4(a + -6) Reorder the terms: 6(-7 + a) + 16 = 4(a + -6) (-7 * 6 + a * 6) + 16 = 4(a + -6) (-42 + 6a) + 16 = 4(a + -6) Reorder the terms: -42 + 16 + 6a = 4(a + -6) Combine like terms: -42 + 16 = -26 -26 + 6a = 4(a + -6) Reorder the terms: -26 + 6a = 4(-6 + a) -26 + 6a = (-6 * 4 + a * 4) -26 + 6a = (-24 + 4a) Solving -26 + 6a = -24 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -26 + 6a + -4a = -24 + 4a + -4a Combine like terms: 6a + -4a = 2a -26 + 2a = -24 + 4a + -4a Combine like terms: 4a + -4a = 0 -26 + 2a = -24 + 0 -26 + 2a = -24 Add '26' to each side of the equation. -26 + 26 + 2a = -24 + 26 Combine like terms: -26 + 26 = 0 0 + 2a = -24 + 26 2a = -24 + 26 Combine like terms: -24 + 26 = 2 2a = 2 Divide each side by '2'. a = 1 Simplifying a = 1
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