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Simplifying 6(a + -7) + 4 = 5a + -3 Reorder the terms: 6(-7 + a) + 4 = 5a + -3 (-7 * 6 + a * 6) + 4 = 5a + -3 (-42 + 6a) + 4 = 5a + -3 Reorder the terms: -42 + 4 + 6a = 5a + -3 Combine like terms: -42 + 4 = -38 -38 + 6a = 5a + -3 Reorder the terms: -38 + 6a = -3 + 5a Solving -38 + 6a = -3 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. -38 + 6a + -5a = -3 + 5a + -5a Combine like terms: 6a + -5a = 1a -38 + 1a = -3 + 5a + -5a Combine like terms: 5a + -5a = 0 -38 + 1a = -3 + 0 -38 + 1a = -3 Add '38' to each side of the equation. -38 + 38 + 1a = -3 + 38 Combine like terms: -38 + 38 = 0 0 + 1a = -3 + 38 1a = -3 + 38 Combine like terms: -3 + 38 = 35 1a = 35 Divide each side by '1'. a = 35 Simplifying a = 35
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