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Simplifying 6(a + -8) + 10 = 2(a + -7) Reorder the terms: 6(-8 + a) + 10 = 2(a + -7) (-8 * 6 + a * 6) + 10 = 2(a + -7) (-48 + 6a) + 10 = 2(a + -7) Reorder the terms: -48 + 10 + 6a = 2(a + -7) Combine like terms: -48 + 10 = -38 -38 + 6a = 2(a + -7) Reorder the terms: -38 + 6a = 2(-7 + a) -38 + 6a = (-7 * 2 + a * 2) -38 + 6a = (-14 + 2a) Solving -38 + 6a = -14 + 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. -38 + 6a + -2a = -14 + 2a + -2a Combine like terms: 6a + -2a = 4a -38 + 4a = -14 + 2a + -2a Combine like terms: 2a + -2a = 0 -38 + 4a = -14 + 0 -38 + 4a = -14 Add '38' to each side of the equation. -38 + 38 + 4a = -14 + 38 Combine like terms: -38 + 38 = 0 0 + 4a = -14 + 38 4a = -14 + 38 Combine like terms: -14 + 38 = 24 4a = 24 Divide each side by '4'. a = 6 Simplifying a = 6
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