4(6r+4)-3(r+2)=14

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Solution for 4(6r+4)-3(r+2)=14 equation:


Simplifying
4(6r + 4) + -3(r + 2) = 14

Reorder the terms:
4(4 + 6r) + -3(r + 2) = 14
(4 * 4 + 6r * 4) + -3(r + 2) = 14
(16 + 24r) + -3(r + 2) = 14

Reorder the terms:
16 + 24r + -3(2 + r) = 14
16 + 24r + (2 * -3 + r * -3) = 14
16 + 24r + (-6 + -3r) = 14

Reorder the terms:
16 + -6 + 24r + -3r = 14

Combine like terms: 16 + -6 = 10
10 + 24r + -3r = 14

Combine like terms: 24r + -3r = 21r
10 + 21r = 14

Solving
10 + 21r = 14

Solving for variable 'r'.

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

Add '-10' to each side of the equation.
10 + -10 + 21r = 14 + -10

Combine like terms: 10 + -10 = 0
0 + 21r = 14 + -10
21r = 14 + -10

Combine like terms: 14 + -10 = 4
21r = 4

Divide each side by '21'.
r = 0.1904761905

Simplifying
r = 0.1904761905

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