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Simplifying 10a + -4 * 3 = 9a + 4 * 7 Multiply -4 * 3 10a + -12 = 9a + 4 * 7 Reorder the terms: -12 + 10a = 9a + 4 * 7 Multiply 4 * 7 -12 + 10a = 9a + 28 Reorder the terms: -12 + 10a = 28 + 9a Solving -12 + 10a = 28 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. -12 + 10a + -9a = 28 + 9a + -9a Combine like terms: 10a + -9a = 1a -12 + 1a = 28 + 9a + -9a Combine like terms: 9a + -9a = 0 -12 + 1a = 28 + 0 -12 + 1a = 28 Add '12' to each side of the equation. -12 + 12 + 1a = 28 + 12 Combine like terms: -12 + 12 = 0 0 + 1a = 28 + 12 1a = 28 + 12 Combine like terms: 28 + 12 = 40 1a = 40 Divide each side by '1'. a = 40 Simplifying a = 40
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