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Simplifying 5a(2) + 16 = 42a Reorder the terms for easier multiplication: 5 * 2a + 16 = 42a Multiply 5 * 2 10a + 16 = 42a Reorder the terms: 16 + 10a = 42a Solving 16 + 10a = 42a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-42a' to each side of the equation. 16 + 10a + -42a = 42a + -42a Combine like terms: 10a + -42a = -32a 16 + -32a = 42a + -42a Combine like terms: 42a + -42a = 0 16 + -32a = 0 Add '-16' to each side of the equation. 16 + -16 + -32a = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -32a = 0 + -16 -32a = 0 + -16 Combine like terms: 0 + -16 = -16 -32a = -16 Divide each side by '-32'. a = 0.5 Simplifying a = 0.5
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