4(a+5)-3(a-2)=7a-1

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Solution for 4(a+5)-3(a-2)=7a-1 equation:


Simplifying
4(a + 5) + -3(a + -2) = 7a + -1

Reorder the terms:
4(5 + a) + -3(a + -2) = 7a + -1
(5 * 4 + a * 4) + -3(a + -2) = 7a + -1
(20 + 4a) + -3(a + -2) = 7a + -1

Reorder the terms:
20 + 4a + -3(-2 + a) = 7a + -1
20 + 4a + (-2 * -3 + a * -3) = 7a + -1
20 + 4a + (6 + -3a) = 7a + -1

Reorder the terms:
20 + 6 + 4a + -3a = 7a + -1

Combine like terms: 20 + 6 = 26
26 + 4a + -3a = 7a + -1

Combine like terms: 4a + -3a = 1a
26 + 1a = 7a + -1

Reorder the terms:
26 + 1a = -1 + 7a

Solving
26 + 1a = -1 + 7a

Solving for variable 'a'.

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

Add '-7a' to each side of the equation.
26 + 1a + -7a = -1 + 7a + -7a

Combine like terms: 1a + -7a = -6a
26 + -6a = -1 + 7a + -7a

Combine like terms: 7a + -7a = 0
26 + -6a = -1 + 0
26 + -6a = -1

Add '-26' to each side of the equation.
26 + -26 + -6a = -1 + -26

Combine like terms: 26 + -26 = 0
0 + -6a = -1 + -26
-6a = -1 + -26

Combine like terms: -1 + -26 = -27
-6a = -27

Divide each side by '-6'.
a = 4.5

Simplifying
a = 4.5

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