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Simplifying 3a + -21 = 4a + 7(a + 5) Reorder the terms: -21 + 3a = 4a + 7(a + 5) Reorder the terms: -21 + 3a = 4a + 7(5 + a) -21 + 3a = 4a + (5 * 7 + a * 7) -21 + 3a = 4a + (35 + 7a) Reorder the terms: -21 + 3a = 35 + 4a + 7a Combine like terms: 4a + 7a = 11a -21 + 3a = 35 + 11a Solving -21 + 3a = 35 + 11a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-11a' to each side of the equation. -21 + 3a + -11a = 35 + 11a + -11a Combine like terms: 3a + -11a = -8a -21 + -8a = 35 + 11a + -11a Combine like terms: 11a + -11a = 0 -21 + -8a = 35 + 0 -21 + -8a = 35 Add '21' to each side of the equation. -21 + 21 + -8a = 35 + 21 Combine like terms: -21 + 21 = 0 0 + -8a = 35 + 21 -8a = 35 + 21 Combine like terms: 35 + 21 = 56 -8a = 56 Divide each side by '-8'. a = -7 Simplifying a = -7
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