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Simplifying 4a + -10 = 3(a + 1) + 18a + 5 Reorder the terms: -10 + 4a = 3(a + 1) + 18a + 5 Reorder the terms: -10 + 4a = 3(1 + a) + 18a + 5 -10 + 4a = (1 * 3 + a * 3) + 18a + 5 -10 + 4a = (3 + 3a) + 18a + 5 Reorder the terms: -10 + 4a = 3 + 5 + 3a + 18a Combine like terms: 3 + 5 = 8 -10 + 4a = 8 + 3a + 18a Combine like terms: 3a + 18a = 21a -10 + 4a = 8 + 21a Solving -10 + 4a = 8 + 21a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-21a' to each side of the equation. -10 + 4a + -21a = 8 + 21a + -21a Combine like terms: 4a + -21a = -17a -10 + -17a = 8 + 21a + -21a Combine like terms: 21a + -21a = 0 -10 + -17a = 8 + 0 -10 + -17a = 8 Add '10' to each side of the equation. -10 + 10 + -17a = 8 + 10 Combine like terms: -10 + 10 = 0 0 + -17a = 8 + 10 -17a = 8 + 10 Combine like terms: 8 + 10 = 18 -17a = 18 Divide each side by '-17'. a = -1.058823529 Simplifying a = -1.058823529
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