7(4a-5)=-10(-2a-7)-3

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Solution for 7(4a-5)=-10(-2a-7)-3 equation:


Simplifying
7(4a + -5) = -10(-2a + -7) + -3

Reorder the terms:
7(-5 + 4a) = -10(-2a + -7) + -3
(-5 * 7 + 4a * 7) = -10(-2a + -7) + -3
(-35 + 28a) = -10(-2a + -7) + -3

Reorder the terms:
-35 + 28a = -10(-7 + -2a) + -3
-35 + 28a = (-7 * -10 + -2a * -10) + -3
-35 + 28a = (70 + 20a) + -3

Reorder the terms:
-35 + 28a = 70 + -3 + 20a

Combine like terms: 70 + -3 = 67
-35 + 28a = 67 + 20a

Solving
-35 + 28a = 67 + 20a

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '-20a' to each side of the equation.
-35 + 28a + -20a = 67 + 20a + -20a

Combine like terms: 28a + -20a = 8a
-35 + 8a = 67 + 20a + -20a

Combine like terms: 20a + -20a = 0
-35 + 8a = 67 + 0
-35 + 8a = 67

Add '35' to each side of the equation.
-35 + 35 + 8a = 67 + 35

Combine like terms: -35 + 35 = 0
0 + 8a = 67 + 35
8a = 67 + 35

Combine like terms: 67 + 35 = 102
8a = 102

Divide each side by '8'.
a = 12.75

Simplifying
a = 12.75

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